/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


H-Termination with start terms of the given HASKELL could be proven:

(0) HASKELL
(1) LR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) CR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) IFR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) BR [EQUIVALENT, 0 ms]
(8) HASKELL
(9) COR [EQUIVALENT, 0 ms]
(10) HASKELL
(11) NumRed [SOUND, 14 ms]
(12) HASKELL
(13) Narrow [SOUND, 0 ms]
(14) AND
    (15) QDP
        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (17) YES
    (18) QDP
        (19) QDPSizeChangeProof [EQUIVALENT, 12 ms]
        (20) YES
    (21) QDP
        (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (23) YES
    (24) QDP
        (25) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (26) YES
    (27) QDP
        (28) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (29) YES


----------------------------------------

(0)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
elemIndices :: Eq a => a  ->  [a]  ->  [Int];
elemIndices x = findIndices (== x);

findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
findIndices p xs = concatMap (\vv1 ->case vv1 of { 
(x,i)->  if p x then i : [] else []; 
_-> []; 
 } ) (zip xs (enumFrom 0));

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\ab->(a,b)"
is transformed to
"zip0 a b = (a,b);
"
The following Lambda expression
"\vv1->case vv1 of {
(x,i)  -> if p x then i : [] else [];
_  -> []}
"
is transformed to
"findIndices0 p vv1 = case vv1 of {
(x,i)  -> if p x then i : [] else [];
_  -> []}
;
"

----------------------------------------

(2)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
elemIndices :: Eq a => a  ->  [a]  ->  [Int];
elemIndices x = findIndices (== x);

findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
findIndices p xs = concatMap (findIndices0 p) (zip xs (enumFrom 0));

findIndices0 p vv1 = case vv1 of { 
(x,i)->  if p x then i : [] else []; 
_-> []; 
 } ;

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(3) CR (EQUIVALENT)
Case Reductions:
The following Case expression
"case vv1 of {
(x,i)  -> if p x then i : [] else [];
_  -> []}
"
is transformed to
"findIndices00 p (x,i) = if p x then i : [] else [];
findIndices00 p _ = [];
"

----------------------------------------

(4)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
elemIndices :: Eq a => a  ->  [a]  ->  [Int];
elemIndices x = findIndices (== x);

findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
findIndices p xs = concatMap (findIndices0 p) (zip xs (enumFrom 0));

findIndices0 p vv1 = findIndices00 p vv1;

findIndices00 p (x,i) =  if p x then i : [] else [];
findIndices00 p _ = [];

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(5) IFR (EQUIVALENT)
If Reductions:
The following If expression
"if p x then i : [] else []"
is transformed to
"findIndices000 i True = i : [];
findIndices000 i False = [];
"

----------------------------------------

(6)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
elemIndices :: Eq a => a  ->  [a]  ->  [Int];
elemIndices x = findIndices (== x);

findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
findIndices p xs = concatMap (findIndices0 p) (zip xs (enumFrom 0));

findIndices0 p vv1 = findIndices00 p vv1;

findIndices00 p (x,i) = findIndices000 i (p x);
findIndices00 p _ = [];

findIndices000 i True = i : [];
findIndices000 i False = [];

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(7) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.
----------------------------------------

(8)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
elemIndices :: Eq a => a  ->  [a]  ->  [Int];
elemIndices x = findIndices (== x);

findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
findIndices p xs = concatMap (findIndices0 p) (zip xs (enumFrom 0));

findIndices0 p vv1 = findIndices00 p vv1;

findIndices00 p (x,i) = findIndices000 i (p x);
findIndices00 p xz = [];

findIndices000 i True = i : [];
findIndices000 i False = [];

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(9) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"

----------------------------------------

(10)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
elemIndices :: Eq a => a  ->  [a]  ->  [Int];
elemIndices x = findIndices (== x);

findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
findIndices p xs = concatMap (findIndices0 p) (zip xs (enumFrom 0));

findIndices0 p vv1 = findIndices00 p vv1;

findIndices00 p (x,i) = findIndices000 i (p x);
findIndices00 p xz = [];

findIndices000 i True = i : [];
findIndices000 i False = [];

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(11) NumRed (SOUND)
Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
----------------------------------------

(12)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
elemIndices :: Eq a => a  ->  [a]  ->  [Int];
elemIndices x = findIndices (== x);

findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
findIndices p xs = concatMap (findIndices0 p) (zip xs (enumFrom (Pos Zero)));

findIndices0 p vv1 = findIndices00 p vv1;

findIndices00 p (x,i) = findIndices000 i (p x);
findIndices00 p xz = [];

findIndices000 i True = i : [];
findIndices000 i False = [];

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(13) Narrow (SOUND)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="List.elemIndices",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="List.elemIndices yu3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="List.elemIndices yu3 yu4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="List.findIndices (yu3 ==) yu4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="concatMap (List.findIndices0 (yu3 ==)) (zip yu4 (enumFrom (Pos Zero)))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
7[label="concat . map (List.findIndices0 (yu3 ==))",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
8[label="concat (map (List.findIndices0 (yu3 ==)) (zip yu4 (enumFrom (Pos Zero))))",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zip yu4 (enumFrom (Pos Zero))))",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu4 (enumFrom (Pos Zero))))",fontsize=16,color="burlywood",shape="box"];1577[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];10 -> 1577[label="",style="solid", color="burlywood", weight=9];
1577 -> 11[label="",style="solid", color="burlywood", weight=3];
1578[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];10 -> 1578[label="",style="solid", color="burlywood", weight=9];
1578 -> 12[label="",style="solid", color="burlywood", weight=3];
11[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu40 : yu41) (enumFrom (Pos Zero))))",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
12[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 [] (enumFrom (Pos Zero))))",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
13[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu40 : yu41) (numericEnumFrom (Pos Zero))))",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3];
14[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) [])",fontsize=16,color="black",shape="triangle"];14 -> 16[label="",style="solid", color="black", weight=3];
15[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu40 : yu41) (Pos Zero : (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))))))",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3];
16[label="foldr (++) [] []",fontsize=16,color="black",shape="box"];16 -> 18[label="",style="solid", color="black", weight=3];
17[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zip0 yu40 (Pos Zero) : zipWith zip0 yu41 (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];17 -> 19[label="",style="solid", color="black", weight=3];
18[label="[]",fontsize=16,color="green",shape="box"];19[label="foldr (++) [] (List.findIndices0 (yu3 ==) (zip0 yu40 (Pos Zero)) : map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu41 (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3];
20 -> 795[label="",style="dashed", color="red", weight=0];
20[label="(++) List.findIndices0 (yu3 ==) (zip0 yu40 (Pos Zero)) foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu41 (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero)))))",fontsize=16,color="magenta"];20 -> 796[label="",style="dashed", color="magenta", weight=3];
20 -> 797[label="",style="dashed", color="magenta", weight=3];
20 -> 798[label="",style="dashed", color="magenta", weight=3];
796[label="yu40",fontsize=16,color="green",shape="box"];797[label="Zero",fontsize=16,color="green",shape="box"];798 -> 957[label="",style="dashed", color="red", weight=0];
798[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu41 (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero)))))",fontsize=16,color="magenta"];798 -> 958[label="",style="dashed", color="magenta", weight=3];
798 -> 959[label="",style="dashed", color="magenta", weight=3];
795[label="(++) List.findIndices0 (yu3 ==) (zip0 yu4110 (Pos yu27)) yu29",fontsize=16,color="black",shape="triangle"];795 -> 802[label="",style="solid", color="black", weight=3];
958[label="yu41",fontsize=16,color="green",shape="box"];959[label="Zero",fontsize=16,color="green",shape="box"];957[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu411 (numericEnumFrom $! Pos yu48 + fromInt (Pos (Succ Zero)))))",fontsize=16,color="burlywood",shape="triangle"];1579[label="yu411/yu4110 : yu4111",fontsize=10,color="white",style="solid",shape="box"];957 -> 1579[label="",style="solid", color="burlywood", weight=9];
1579 -> 961[label="",style="solid", color="burlywood", weight=3];
1580[label="yu411/[]",fontsize=10,color="white",style="solid",shape="box"];957 -> 1580[label="",style="solid", color="burlywood", weight=9];
1580 -> 962[label="",style="solid", color="burlywood", weight=3];
802[label="(++) List.findIndices00 (yu3 ==) (zip0 yu4110 (Pos yu27)) yu29",fontsize=16,color="black",shape="box"];802 -> 805[label="",style="solid", color="black", weight=3];
961[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (numericEnumFrom $! Pos yu48 + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];961 -> 965[label="",style="solid", color="black", weight=3];
962[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 [] (numericEnumFrom $! Pos yu48 + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];962 -> 966[label="",style="solid", color="black", weight=3];
805[label="(++) List.findIndices00 (yu3 ==) (yu4110,Pos yu27) yu29",fontsize=16,color="black",shape="box"];805 -> 807[label="",style="solid", color="black", weight=3];
965[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (Pos yu48 + fromInt (Pos (Succ Zero)) `seq` numericEnumFrom (Pos yu48 + fromInt (Pos (Succ Zero))))))",fontsize=16,color="black",shape="box"];965 -> 975[label="",style="solid", color="black", weight=3];
966 -> 14[label="",style="dashed", color="red", weight=0];
966[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) [])",fontsize=16,color="magenta"];807 -> 911[label="",style="dashed", color="red", weight=0];
807[label="(++) List.findIndices000 (Pos yu27) (yu3 == yu4110) yu29",fontsize=16,color="magenta"];807 -> 912[label="",style="dashed", color="magenta", weight=3];
807 -> 913[label="",style="dashed", color="magenta", weight=3];
807 -> 914[label="",style="dashed", color="magenta", weight=3];
975[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (enforceWHNF (WHNF (Pos yu48 + fromInt (Pos (Succ Zero)))) (numericEnumFrom (Pos yu48 + fromInt (Pos (Succ Zero)))))))",fontsize=16,color="black",shape="box"];975 -> 994[label="",style="solid", color="black", weight=3];
912[label="yu3 == yu4110",fontsize=16,color="burlywood",shape="triangle"];1581[label="yu3/yu30 : yu31",fontsize=10,color="white",style="solid",shape="box"];912 -> 1581[label="",style="solid", color="burlywood", weight=9];
1581 -> 936[label="",style="solid", color="burlywood", weight=3];
1582[label="yu3/[]",fontsize=10,color="white",style="solid",shape="box"];912 -> 1582[label="",style="solid", color="burlywood", weight=9];
1582 -> 937[label="",style="solid", color="burlywood", weight=3];
913[label="yu29",fontsize=16,color="green",shape="box"];914[label="yu27",fontsize=16,color="green",shape="box"];911[label="(++) List.findIndices000 (Pos yu45) yu46 yu47",fontsize=16,color="burlywood",shape="triangle"];1583[label="yu46/False",fontsize=10,color="white",style="solid",shape="box"];911 -> 1583[label="",style="solid", color="burlywood", weight=9];
1583 -> 938[label="",style="solid", color="burlywood", weight=3];
1584[label="yu46/True",fontsize=10,color="white",style="solid",shape="box"];911 -> 1584[label="",style="solid", color="burlywood", weight=9];
1584 -> 939[label="",style="solid", color="burlywood", weight=3];
994[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (enforceWHNF (WHNF (primPlusInt (Pos yu48) (fromInt (Pos (Succ Zero))))) (numericEnumFrom (primPlusInt (Pos yu48) (fromInt (Pos (Succ Zero))))))))",fontsize=16,color="black",shape="box"];994 -> 1017[label="",style="solid", color="black", weight=3];
936[label="yu30 : yu31 == yu4110",fontsize=16,color="burlywood",shape="box"];1585[label="yu4110/yu41100 : yu41101",fontsize=10,color="white",style="solid",shape="box"];936 -> 1585[label="",style="solid", color="burlywood", weight=9];
1585 -> 941[label="",style="solid", color="burlywood", weight=3];
1586[label="yu4110/[]",fontsize=10,color="white",style="solid",shape="box"];936 -> 1586[label="",style="solid", color="burlywood", weight=9];
1586 -> 942[label="",style="solid", color="burlywood", weight=3];
937[label="[] == yu4110",fontsize=16,color="burlywood",shape="box"];1587[label="yu4110/yu41100 : yu41101",fontsize=10,color="white",style="solid",shape="box"];937 -> 1587[label="",style="solid", color="burlywood", weight=9];
1587 -> 943[label="",style="solid", color="burlywood", weight=3];
1588[label="yu4110/[]",fontsize=10,color="white",style="solid",shape="box"];937 -> 1588[label="",style="solid", color="burlywood", weight=9];
1588 -> 944[label="",style="solid", color="burlywood", weight=3];
938[label="(++) List.findIndices000 (Pos yu45) False yu47",fontsize=16,color="black",shape="box"];938 -> 945[label="",style="solid", color="black", weight=3];
939[label="(++) List.findIndices000 (Pos yu45) True yu47",fontsize=16,color="black",shape="box"];939 -> 946[label="",style="solid", color="black", weight=3];
1017[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (enforceWHNF (WHNF (primPlusInt (Pos yu48) (Pos (Succ Zero)))) (numericEnumFrom (primPlusInt (Pos yu48) (Pos (Succ Zero)))))))",fontsize=16,color="black",shape="box"];1017 -> 1049[label="",style="solid", color="black", weight=3];
941[label="yu30 : yu31 == yu41100 : yu41101",fontsize=16,color="black",shape="box"];941 -> 950[label="",style="solid", color="black", weight=3];
942[label="yu30 : yu31 == []",fontsize=16,color="black",shape="box"];942 -> 951[label="",style="solid", color="black", weight=3];
943[label="[] == yu41100 : yu41101",fontsize=16,color="black",shape="box"];943 -> 952[label="",style="solid", color="black", weight=3];
944[label="[] == []",fontsize=16,color="black",shape="box"];944 -> 953[label="",style="solid", color="black", weight=3];
945[label="(++) [] yu47",fontsize=16,color="black",shape="triangle"];945 -> 954[label="",style="solid", color="black", weight=3];
946[label="(++) (Pos yu45 : []) yu47",fontsize=16,color="black",shape="box"];946 -> 955[label="",style="solid", color="black", weight=3];
1049[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (enforceWHNF (WHNF (Pos (primPlusNat yu48 (Succ Zero)))) (numericEnumFrom (Pos (primPlusNat yu48 (Succ Zero)))))))",fontsize=16,color="black",shape="box"];1049 -> 1083[label="",style="solid", color="black", weight=3];
950 -> 970[label="",style="dashed", color="red", weight=0];
950[label="yu30 == yu41100 && yu31 == yu41101",fontsize=16,color="magenta"];950 -> 971[label="",style="dashed", color="magenta", weight=3];
950 -> 972[label="",style="dashed", color="magenta", weight=3];
951[label="False",fontsize=16,color="green",shape="box"];952[label="False",fontsize=16,color="green",shape="box"];953[label="True",fontsize=16,color="green",shape="box"];954[label="yu47",fontsize=16,color="green",shape="box"];955[label="Pos yu45 : [] ++ yu47",fontsize=16,color="green",shape="box"];955 -> 967[label="",style="dashed", color="green", weight=3];
1083[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (numericEnumFrom (Pos (primPlusNat yu48 (Succ Zero))))))",fontsize=16,color="black",shape="box"];1083 -> 1145[label="",style="solid", color="black", weight=3];
971[label="yu30 == yu41100",fontsize=16,color="blue",shape="box"];1589[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1589[label="",style="solid", color="blue", weight=9];
1589 -> 976[label="",style="solid", color="blue", weight=3];
1590[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1590[label="",style="solid", color="blue", weight=9];
1590 -> 977[label="",style="solid", color="blue", weight=3];
1591[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1591[label="",style="solid", color="blue", weight=9];
1591 -> 978[label="",style="solid", color="blue", weight=3];
1592[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1592[label="",style="solid", color="blue", weight=9];
1592 -> 979[label="",style="solid", color="blue", weight=3];
1593[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1593[label="",style="solid", color="blue", weight=9];
1593 -> 980[label="",style="solid", color="blue", weight=3];
1594[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1594[label="",style="solid", color="blue", weight=9];
1594 -> 981[label="",style="solid", color="blue", weight=3];
1595[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1595[label="",style="solid", color="blue", weight=9];
1595 -> 982[label="",style="solid", color="blue", weight=3];
1596[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1596[label="",style="solid", color="blue", weight=9];
1596 -> 983[label="",style="solid", color="blue", weight=3];
1597[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1597[label="",style="solid", color="blue", weight=9];
1597 -> 984[label="",style="solid", color="blue", weight=3];
1598[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1598[label="",style="solid", color="blue", weight=9];
1598 -> 985[label="",style="solid", color="blue", weight=3];
1599[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1599[label="",style="solid", color="blue", weight=9];
1599 -> 986[label="",style="solid", color="blue", weight=3];
1600[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1600[label="",style="solid", color="blue", weight=9];
1600 -> 987[label="",style="solid", color="blue", weight=3];
1601[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1601[label="",style="solid", color="blue", weight=9];
1601 -> 988[label="",style="solid", color="blue", weight=3];
1602[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];971 -> 1602[label="",style="solid", color="blue", weight=9];
1602 -> 989[label="",style="solid", color="blue", weight=3];
972 -> 912[label="",style="dashed", color="red", weight=0];
972[label="yu31 == yu41101",fontsize=16,color="magenta"];972 -> 990[label="",style="dashed", color="magenta", weight=3];
972 -> 991[label="",style="dashed", color="magenta", weight=3];
970[label="yu53 && yu54",fontsize=16,color="burlywood",shape="triangle"];1603[label="yu53/False",fontsize=10,color="white",style="solid",shape="box"];970 -> 1603[label="",style="solid", color="burlywood", weight=9];
1603 -> 992[label="",style="solid", color="burlywood", weight=3];
1604[label="yu53/True",fontsize=10,color="white",style="solid",shape="box"];970 -> 1604[label="",style="solid", color="burlywood", weight=9];
1604 -> 993[label="",style="solid", color="burlywood", weight=3];
967 -> 945[label="",style="dashed", color="red", weight=0];
967[label="[] ++ yu47",fontsize=16,color="magenta"];1145[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 (yu4110 : yu4111) (Pos (primPlusNat yu48 (Succ Zero)) : (numericEnumFrom $! Pos (primPlusNat yu48 (Succ Zero)) + fromInt (Pos (Succ Zero))))))",fontsize=16,color="black",shape="box"];1145 -> 1298[label="",style="solid", color="black", weight=3];
976[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1605[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];976 -> 1605[label="",style="solid", color="burlywood", weight=9];
1605 -> 995[label="",style="solid", color="burlywood", weight=3];
977[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1606[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];977 -> 1606[label="",style="solid", color="burlywood", weight=9];
1606 -> 996[label="",style="solid", color="burlywood", weight=3];
978[label="yu30 == yu41100",fontsize=16,color="black",shape="triangle"];978 -> 997[label="",style="solid", color="black", weight=3];
979[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1607[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];979 -> 1607[label="",style="solid", color="burlywood", weight=9];
1607 -> 998[label="",style="solid", color="burlywood", weight=3];
1608[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];979 -> 1608[label="",style="solid", color="burlywood", weight=9];
1608 -> 999[label="",style="solid", color="burlywood", weight=3];
980[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1609[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];980 -> 1609[label="",style="solid", color="burlywood", weight=9];
1609 -> 1000[label="",style="solid", color="burlywood", weight=3];
1610[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];980 -> 1610[label="",style="solid", color="burlywood", weight=9];
1610 -> 1001[label="",style="solid", color="burlywood", weight=3];
981[label="yu30 == yu41100",fontsize=16,color="black",shape="triangle"];981 -> 1002[label="",style="solid", color="black", weight=3];
982[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1611[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];982 -> 1611[label="",style="solid", color="burlywood", weight=9];
1611 -> 1003[label="",style="solid", color="burlywood", weight=3];
983[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1612[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];983 -> 1612[label="",style="solid", color="burlywood", weight=9];
1612 -> 1004[label="",style="solid", color="burlywood", weight=3];
984[label="yu30 == yu41100",fontsize=16,color="black",shape="triangle"];984 -> 1005[label="",style="solid", color="black", weight=3];
985[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1613[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];985 -> 1613[label="",style="solid", color="burlywood", weight=9];
1613 -> 1006[label="",style="solid", color="burlywood", weight=3];
1614[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];985 -> 1614[label="",style="solid", color="burlywood", weight=9];
1614 -> 1007[label="",style="solid", color="burlywood", weight=3];
986[label="yu30 == yu41100",fontsize=16,color="black",shape="triangle"];986 -> 1008[label="",style="solid", color="black", weight=3];
987[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1615[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];987 -> 1615[label="",style="solid", color="burlywood", weight=9];
1615 -> 1009[label="",style="solid", color="burlywood", weight=3];
1616[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];987 -> 1616[label="",style="solid", color="burlywood", weight=9];
1616 -> 1010[label="",style="solid", color="burlywood", weight=3];
1617[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];987 -> 1617[label="",style="solid", color="burlywood", weight=9];
1617 -> 1011[label="",style="solid", color="burlywood", weight=3];
988[label="yu30 == yu41100",fontsize=16,color="burlywood",shape="triangle"];1618[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];988 -> 1618[label="",style="solid", color="burlywood", weight=9];
1618 -> 1012[label="",style="solid", color="burlywood", weight=3];
989 -> 912[label="",style="dashed", color="red", weight=0];
989[label="yu30 == yu41100",fontsize=16,color="magenta"];989 -> 1013[label="",style="dashed", color="magenta", weight=3];
989 -> 1014[label="",style="dashed", color="magenta", weight=3];
990[label="yu41101",fontsize=16,color="green",shape="box"];991[label="yu31",fontsize=16,color="green",shape="box"];992[label="False && yu54",fontsize=16,color="black",shape="box"];992 -> 1015[label="",style="solid", color="black", weight=3];
993[label="True && yu54",fontsize=16,color="black",shape="box"];993 -> 1016[label="",style="solid", color="black", weight=3];
1298[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zip0 yu4110 (Pos (primPlusNat yu48 (Succ Zero))) : zipWith zip0 yu4111 (numericEnumFrom $! Pos (primPlusNat yu48 (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];1298 -> 1442[label="",style="solid", color="black", weight=3];
995[label="() == yu41100",fontsize=16,color="burlywood",shape="box"];1619[label="yu41100/()",fontsize=10,color="white",style="solid",shape="box"];995 -> 1619[label="",style="solid", color="burlywood", weight=9];
1619 -> 1018[label="",style="solid", color="burlywood", weight=3];
996[label="(yu300,yu301,yu302) == yu41100",fontsize=16,color="burlywood",shape="box"];1620[label="yu41100/(yu411000,yu411001,yu411002)",fontsize=10,color="white",style="solid",shape="box"];996 -> 1620[label="",style="solid", color="burlywood", weight=9];
1620 -> 1019[label="",style="solid", color="burlywood", weight=3];
997[label="primEqInt yu30 yu41100",fontsize=16,color="burlywood",shape="triangle"];1621[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];997 -> 1621[label="",style="solid", color="burlywood", weight=9];
1621 -> 1020[label="",style="solid", color="burlywood", weight=3];
1622[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];997 -> 1622[label="",style="solid", color="burlywood", weight=9];
1622 -> 1021[label="",style="solid", color="burlywood", weight=3];
998[label="False == yu41100",fontsize=16,color="burlywood",shape="box"];1623[label="yu41100/False",fontsize=10,color="white",style="solid",shape="box"];998 -> 1623[label="",style="solid", color="burlywood", weight=9];
1623 -> 1022[label="",style="solid", color="burlywood", weight=3];
1624[label="yu41100/True",fontsize=10,color="white",style="solid",shape="box"];998 -> 1624[label="",style="solid", color="burlywood", weight=9];
1624 -> 1023[label="",style="solid", color="burlywood", weight=3];
999[label="True == yu41100",fontsize=16,color="burlywood",shape="box"];1625[label="yu41100/False",fontsize=10,color="white",style="solid",shape="box"];999 -> 1625[label="",style="solid", color="burlywood", weight=9];
1625 -> 1024[label="",style="solid", color="burlywood", weight=3];
1626[label="yu41100/True",fontsize=10,color="white",style="solid",shape="box"];999 -> 1626[label="",style="solid", color="burlywood", weight=9];
1626 -> 1025[label="",style="solid", color="burlywood", weight=3];
1000[label="Left yu300 == yu41100",fontsize=16,color="burlywood",shape="box"];1627[label="yu41100/Left yu411000",fontsize=10,color="white",style="solid",shape="box"];1000 -> 1627[label="",style="solid", color="burlywood", weight=9];
1627 -> 1026[label="",style="solid", color="burlywood", weight=3];
1628[label="yu41100/Right yu411000",fontsize=10,color="white",style="solid",shape="box"];1000 -> 1628[label="",style="solid", color="burlywood", weight=9];
1628 -> 1027[label="",style="solid", color="burlywood", weight=3];
1001[label="Right yu300 == yu41100",fontsize=16,color="burlywood",shape="box"];1629[label="yu41100/Left yu411000",fontsize=10,color="white",style="solid",shape="box"];1001 -> 1629[label="",style="solid", color="burlywood", weight=9];
1629 -> 1028[label="",style="solid", color="burlywood", weight=3];
1630[label="yu41100/Right yu411000",fontsize=10,color="white",style="solid",shape="box"];1001 -> 1630[label="",style="solid", color="burlywood", weight=9];
1630 -> 1029[label="",style="solid", color="burlywood", weight=3];
1002[label="primEqChar yu30 yu41100",fontsize=16,color="burlywood",shape="box"];1631[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];1002 -> 1631[label="",style="solid", color="burlywood", weight=9];
1631 -> 1030[label="",style="solid", color="burlywood", weight=3];
1003[label="yu300 :% yu301 == yu41100",fontsize=16,color="burlywood",shape="box"];1632[label="yu41100/yu411000 :% yu411001",fontsize=10,color="white",style="solid",shape="box"];1003 -> 1632[label="",style="solid", color="burlywood", weight=9];
1632 -> 1031[label="",style="solid", color="burlywood", weight=3];
1004[label="(yu300,yu301) == yu41100",fontsize=16,color="burlywood",shape="box"];1633[label="yu41100/(yu411000,yu411001)",fontsize=10,color="white",style="solid",shape="box"];1004 -> 1633[label="",style="solid", color="burlywood", weight=9];
1633 -> 1032[label="",style="solid", color="burlywood", weight=3];
1005[label="primEqDouble yu30 yu41100",fontsize=16,color="burlywood",shape="box"];1634[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];1005 -> 1634[label="",style="solid", color="burlywood", weight=9];
1634 -> 1033[label="",style="solid", color="burlywood", weight=3];
1006[label="Nothing == yu41100",fontsize=16,color="burlywood",shape="box"];1635[label="yu41100/Nothing",fontsize=10,color="white",style="solid",shape="box"];1006 -> 1635[label="",style="solid", color="burlywood", weight=9];
1635 -> 1034[label="",style="solid", color="burlywood", weight=3];
1636[label="yu41100/Just yu411000",fontsize=10,color="white",style="solid",shape="box"];1006 -> 1636[label="",style="solid", color="burlywood", weight=9];
1636 -> 1035[label="",style="solid", color="burlywood", weight=3];
1007[label="Just yu300 == yu41100",fontsize=16,color="burlywood",shape="box"];1637[label="yu41100/Nothing",fontsize=10,color="white",style="solid",shape="box"];1007 -> 1637[label="",style="solid", color="burlywood", weight=9];
1637 -> 1036[label="",style="solid", color="burlywood", weight=3];
1638[label="yu41100/Just yu411000",fontsize=10,color="white",style="solid",shape="box"];1007 -> 1638[label="",style="solid", color="burlywood", weight=9];
1638 -> 1037[label="",style="solid", color="burlywood", weight=3];
1008[label="primEqFloat yu30 yu41100",fontsize=16,color="burlywood",shape="box"];1639[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];1008 -> 1639[label="",style="solid", color="burlywood", weight=9];
1639 -> 1038[label="",style="solid", color="burlywood", weight=3];
1009[label="LT == yu41100",fontsize=16,color="burlywood",shape="box"];1640[label="yu41100/LT",fontsize=10,color="white",style="solid",shape="box"];1009 -> 1640[label="",style="solid", color="burlywood", weight=9];
1640 -> 1039[label="",style="solid", color="burlywood", weight=3];
1641[label="yu41100/EQ",fontsize=10,color="white",style="solid",shape="box"];1009 -> 1641[label="",style="solid", color="burlywood", weight=9];
1641 -> 1040[label="",style="solid", color="burlywood", weight=3];
1642[label="yu41100/GT",fontsize=10,color="white",style="solid",shape="box"];1009 -> 1642[label="",style="solid", color="burlywood", weight=9];
1642 -> 1041[label="",style="solid", color="burlywood", weight=3];
1010[label="EQ == yu41100",fontsize=16,color="burlywood",shape="box"];1643[label="yu41100/LT",fontsize=10,color="white",style="solid",shape="box"];1010 -> 1643[label="",style="solid", color="burlywood", weight=9];
1643 -> 1042[label="",style="solid", color="burlywood", weight=3];
1644[label="yu41100/EQ",fontsize=10,color="white",style="solid",shape="box"];1010 -> 1644[label="",style="solid", color="burlywood", weight=9];
1644 -> 1043[label="",style="solid", color="burlywood", weight=3];
1645[label="yu41100/GT",fontsize=10,color="white",style="solid",shape="box"];1010 -> 1645[label="",style="solid", color="burlywood", weight=9];
1645 -> 1044[label="",style="solid", color="burlywood", weight=3];
1011[label="GT == yu41100",fontsize=16,color="burlywood",shape="box"];1646[label="yu41100/LT",fontsize=10,color="white",style="solid",shape="box"];1011 -> 1646[label="",style="solid", color="burlywood", weight=9];
1646 -> 1045[label="",style="solid", color="burlywood", weight=3];
1647[label="yu41100/EQ",fontsize=10,color="white",style="solid",shape="box"];1011 -> 1647[label="",style="solid", color="burlywood", weight=9];
1647 -> 1046[label="",style="solid", color="burlywood", weight=3];
1648[label="yu41100/GT",fontsize=10,color="white",style="solid",shape="box"];1011 -> 1648[label="",style="solid", color="burlywood", weight=9];
1648 -> 1047[label="",style="solid", color="burlywood", weight=3];
1012[label="Integer yu300 == yu41100",fontsize=16,color="burlywood",shape="box"];1649[label="yu41100/Integer yu411000",fontsize=10,color="white",style="solid",shape="box"];1012 -> 1649[label="",style="solid", color="burlywood", weight=9];
1649 -> 1048[label="",style="solid", color="burlywood", weight=3];
1013[label="yu41100",fontsize=16,color="green",shape="box"];1014[label="yu30",fontsize=16,color="green",shape="box"];1015[label="False",fontsize=16,color="green",shape="box"];1016[label="yu54",fontsize=16,color="green",shape="box"];1442[label="foldr (++) [] (List.findIndices0 (yu3 ==) (zip0 yu4110 (Pos (primPlusNat yu48 (Succ Zero)))) : map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu4111 (numericEnumFrom $! Pos (primPlusNat yu48 (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];1442 -> 1509[label="",style="solid", color="black", weight=3];
1018[label="() == ()",fontsize=16,color="black",shape="box"];1018 -> 1050[label="",style="solid", color="black", weight=3];
1019[label="(yu300,yu301,yu302) == (yu411000,yu411001,yu411002)",fontsize=16,color="black",shape="box"];1019 -> 1051[label="",style="solid", color="black", weight=3];
1020[label="primEqInt (Pos yu300) yu41100",fontsize=16,color="burlywood",shape="box"];1650[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];1020 -> 1650[label="",style="solid", color="burlywood", weight=9];
1650 -> 1052[label="",style="solid", color="burlywood", weight=3];
1651[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];1020 -> 1651[label="",style="solid", color="burlywood", weight=9];
1651 -> 1053[label="",style="solid", color="burlywood", weight=3];
1021[label="primEqInt (Neg yu300) yu41100",fontsize=16,color="burlywood",shape="box"];1652[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];1021 -> 1652[label="",style="solid", color="burlywood", weight=9];
1652 -> 1054[label="",style="solid", color="burlywood", weight=3];
1653[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];1021 -> 1653[label="",style="solid", color="burlywood", weight=9];
1653 -> 1055[label="",style="solid", color="burlywood", weight=3];
1022[label="False == False",fontsize=16,color="black",shape="box"];1022 -> 1056[label="",style="solid", color="black", weight=3];
1023[label="False == True",fontsize=16,color="black",shape="box"];1023 -> 1057[label="",style="solid", color="black", weight=3];
1024[label="True == False",fontsize=16,color="black",shape="box"];1024 -> 1058[label="",style="solid", color="black", weight=3];
1025[label="True == True",fontsize=16,color="black",shape="box"];1025 -> 1059[label="",style="solid", color="black", weight=3];
1026[label="Left yu300 == Left yu411000",fontsize=16,color="black",shape="box"];1026 -> 1060[label="",style="solid", color="black", weight=3];
1027[label="Left yu300 == Right yu411000",fontsize=16,color="black",shape="box"];1027 -> 1061[label="",style="solid", color="black", weight=3];
1028[label="Right yu300 == Left yu411000",fontsize=16,color="black",shape="box"];1028 -> 1062[label="",style="solid", color="black", weight=3];
1029[label="Right yu300 == Right yu411000",fontsize=16,color="black",shape="box"];1029 -> 1063[label="",style="solid", color="black", weight=3];
1030[label="primEqChar (Char yu300) yu41100",fontsize=16,color="burlywood",shape="box"];1654[label="yu41100/Char yu411000",fontsize=10,color="white",style="solid",shape="box"];1030 -> 1654[label="",style="solid", color="burlywood", weight=9];
1654 -> 1064[label="",style="solid", color="burlywood", weight=3];
1031[label="yu300 :% yu301 == yu411000 :% yu411001",fontsize=16,color="black",shape="box"];1031 -> 1065[label="",style="solid", color="black", weight=3];
1032[label="(yu300,yu301) == (yu411000,yu411001)",fontsize=16,color="black",shape="box"];1032 -> 1066[label="",style="solid", color="black", weight=3];
1033[label="primEqDouble (Double yu300 yu301) yu41100",fontsize=16,color="burlywood",shape="box"];1655[label="yu41100/Double yu411000 yu411001",fontsize=10,color="white",style="solid",shape="box"];1033 -> 1655[label="",style="solid", color="burlywood", weight=9];
1655 -> 1067[label="",style="solid", color="burlywood", weight=3];
1034[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];1034 -> 1068[label="",style="solid", color="black", weight=3];
1035[label="Nothing == Just yu411000",fontsize=16,color="black",shape="box"];1035 -> 1069[label="",style="solid", color="black", weight=3];
1036[label="Just yu300 == Nothing",fontsize=16,color="black",shape="box"];1036 -> 1070[label="",style="solid", color="black", weight=3];
1037[label="Just yu300 == Just yu411000",fontsize=16,color="black",shape="box"];1037 -> 1071[label="",style="solid", color="black", weight=3];
1038[label="primEqFloat (Float yu300 yu301) yu41100",fontsize=16,color="burlywood",shape="box"];1656[label="yu41100/Float yu411000 yu411001",fontsize=10,color="white",style="solid",shape="box"];1038 -> 1656[label="",style="solid", color="burlywood", weight=9];
1656 -> 1072[label="",style="solid", color="burlywood", weight=3];
1039[label="LT == LT",fontsize=16,color="black",shape="box"];1039 -> 1073[label="",style="solid", color="black", weight=3];
1040[label="LT == EQ",fontsize=16,color="black",shape="box"];1040 -> 1074[label="",style="solid", color="black", weight=3];
1041[label="LT == GT",fontsize=16,color="black",shape="box"];1041 -> 1075[label="",style="solid", color="black", weight=3];
1042[label="EQ == LT",fontsize=16,color="black",shape="box"];1042 -> 1076[label="",style="solid", color="black", weight=3];
1043[label="EQ == EQ",fontsize=16,color="black",shape="box"];1043 -> 1077[label="",style="solid", color="black", weight=3];
1044[label="EQ == GT",fontsize=16,color="black",shape="box"];1044 -> 1078[label="",style="solid", color="black", weight=3];
1045[label="GT == LT",fontsize=16,color="black",shape="box"];1045 -> 1079[label="",style="solid", color="black", weight=3];
1046[label="GT == EQ",fontsize=16,color="black",shape="box"];1046 -> 1080[label="",style="solid", color="black", weight=3];
1047[label="GT == GT",fontsize=16,color="black",shape="box"];1047 -> 1081[label="",style="solid", color="black", weight=3];
1048[label="Integer yu300 == Integer yu411000",fontsize=16,color="black",shape="box"];1048 -> 1082[label="",style="solid", color="black", weight=3];
1509 -> 795[label="",style="dashed", color="red", weight=0];
1509[label="(++) List.findIndices0 (yu3 ==) (zip0 yu4110 (Pos (primPlusNat yu48 (Succ Zero)))) foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu4111 (numericEnumFrom $! Pos (primPlusNat yu48 (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="magenta"];1509 -> 1516[label="",style="dashed", color="magenta", weight=3];
1509 -> 1517[label="",style="dashed", color="magenta", weight=3];
1050[label="True",fontsize=16,color="green",shape="box"];1051 -> 970[label="",style="dashed", color="red", weight=0];
1051[label="yu300 == yu411000 && yu301 == yu411001 && yu302 == yu411002",fontsize=16,color="magenta"];1051 -> 1084[label="",style="dashed", color="magenta", weight=3];
1051 -> 1085[label="",style="dashed", color="magenta", weight=3];
1052[label="primEqInt (Pos (Succ yu3000)) yu41100",fontsize=16,color="burlywood",shape="box"];1657[label="yu41100/Pos yu411000",fontsize=10,color="white",style="solid",shape="box"];1052 -> 1657[label="",style="solid", color="burlywood", weight=9];
1657 -> 1086[label="",style="solid", color="burlywood", weight=3];
1658[label="yu41100/Neg yu411000",fontsize=10,color="white",style="solid",shape="box"];1052 -> 1658[label="",style="solid", color="burlywood", weight=9];
1658 -> 1087[label="",style="solid", color="burlywood", weight=3];
1053[label="primEqInt (Pos Zero) yu41100",fontsize=16,color="burlywood",shape="box"];1659[label="yu41100/Pos yu411000",fontsize=10,color="white",style="solid",shape="box"];1053 -> 1659[label="",style="solid", color="burlywood", weight=9];
1659 -> 1088[label="",style="solid", color="burlywood", weight=3];
1660[label="yu41100/Neg yu411000",fontsize=10,color="white",style="solid",shape="box"];1053 -> 1660[label="",style="solid", color="burlywood", weight=9];
1660 -> 1089[label="",style="solid", color="burlywood", weight=3];
1054[label="primEqInt (Neg (Succ yu3000)) yu41100",fontsize=16,color="burlywood",shape="box"];1661[label="yu41100/Pos yu411000",fontsize=10,color="white",style="solid",shape="box"];1054 -> 1661[label="",style="solid", color="burlywood", weight=9];
1661 -> 1090[label="",style="solid", color="burlywood", weight=3];
1662[label="yu41100/Neg yu411000",fontsize=10,color="white",style="solid",shape="box"];1054 -> 1662[label="",style="solid", color="burlywood", weight=9];
1662 -> 1091[label="",style="solid", color="burlywood", weight=3];
1055[label="primEqInt (Neg Zero) yu41100",fontsize=16,color="burlywood",shape="box"];1663[label="yu41100/Pos yu411000",fontsize=10,color="white",style="solid",shape="box"];1055 -> 1663[label="",style="solid", color="burlywood", weight=9];
1663 -> 1092[label="",style="solid", color="burlywood", weight=3];
1664[label="yu41100/Neg yu411000",fontsize=10,color="white",style="solid",shape="box"];1055 -> 1664[label="",style="solid", color="burlywood", weight=9];
1664 -> 1093[label="",style="solid", color="burlywood", weight=3];
1056[label="True",fontsize=16,color="green",shape="box"];1057[label="False",fontsize=16,color="green",shape="box"];1058[label="False",fontsize=16,color="green",shape="box"];1059[label="True",fontsize=16,color="green",shape="box"];1060[label="yu300 == yu411000",fontsize=16,color="blue",shape="box"];1665[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1665[label="",style="solid", color="blue", weight=9];
1665 -> 1094[label="",style="solid", color="blue", weight=3];
1666[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1666[label="",style="solid", color="blue", weight=9];
1666 -> 1095[label="",style="solid", color="blue", weight=3];
1667[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1667[label="",style="solid", color="blue", weight=9];
1667 -> 1096[label="",style="solid", color="blue", weight=3];
1668[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1668[label="",style="solid", color="blue", weight=9];
1668 -> 1097[label="",style="solid", color="blue", weight=3];
1669[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1669[label="",style="solid", color="blue", weight=9];
1669 -> 1098[label="",style="solid", color="blue", weight=3];
1670[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1670[label="",style="solid", color="blue", weight=9];
1670 -> 1099[label="",style="solid", color="blue", weight=3];
1671[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1671[label="",style="solid", color="blue", weight=9];
1671 -> 1100[label="",style="solid", color="blue", weight=3];
1672[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1672[label="",style="solid", color="blue", weight=9];
1672 -> 1101[label="",style="solid", color="blue", weight=3];
1673[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1673[label="",style="solid", color="blue", weight=9];
1673 -> 1102[label="",style="solid", color="blue", weight=3];
1674[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1674[label="",style="solid", color="blue", weight=9];
1674 -> 1103[label="",style="solid", color="blue", weight=3];
1675[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1675[label="",style="solid", color="blue", weight=9];
1675 -> 1104[label="",style="solid", color="blue", weight=3];
1676[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1676[label="",style="solid", color="blue", weight=9];
1676 -> 1105[label="",style="solid", color="blue", weight=3];
1677[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1677[label="",style="solid", color="blue", weight=9];
1677 -> 1106[label="",style="solid", color="blue", weight=3];
1678[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1060 -> 1678[label="",style="solid", color="blue", weight=9];
1678 -> 1107[label="",style="solid", color="blue", weight=3];
1061[label="False",fontsize=16,color="green",shape="box"];1062[label="False",fontsize=16,color="green",shape="box"];1063[label="yu300 == yu411000",fontsize=16,color="blue",shape="box"];1679[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1679[label="",style="solid", color="blue", weight=9];
1679 -> 1108[label="",style="solid", color="blue", weight=3];
1680[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1680[label="",style="solid", color="blue", weight=9];
1680 -> 1109[label="",style="solid", color="blue", weight=3];
1681[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1681[label="",style="solid", color="blue", weight=9];
1681 -> 1110[label="",style="solid", color="blue", weight=3];
1682[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1682[label="",style="solid", color="blue", weight=9];
1682 -> 1111[label="",style="solid", color="blue", weight=3];
1683[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1683[label="",style="solid", color="blue", weight=9];
1683 -> 1112[label="",style="solid", color="blue", weight=3];
1684[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1684[label="",style="solid", color="blue", weight=9];
1684 -> 1113[label="",style="solid", color="blue", weight=3];
1685[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1685[label="",style="solid", color="blue", weight=9];
1685 -> 1114[label="",style="solid", color="blue", weight=3];
1686[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1686[label="",style="solid", color="blue", weight=9];
1686 -> 1115[label="",style="solid", color="blue", weight=3];
1687[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1687[label="",style="solid", color="blue", weight=9];
1687 -> 1116[label="",style="solid", color="blue", weight=3];
1688[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1688[label="",style="solid", color="blue", weight=9];
1688 -> 1117[label="",style="solid", color="blue", weight=3];
1689[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1689[label="",style="solid", color="blue", weight=9];
1689 -> 1118[label="",style="solid", color="blue", weight=3];
1690[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1690[label="",style="solid", color="blue", weight=9];
1690 -> 1119[label="",style="solid", color="blue", weight=3];
1691[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1691[label="",style="solid", color="blue", weight=9];
1691 -> 1120[label="",style="solid", color="blue", weight=3];
1692[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1063 -> 1692[label="",style="solid", color="blue", weight=9];
1692 -> 1121[label="",style="solid", color="blue", weight=3];
1064[label="primEqChar (Char yu300) (Char yu411000)",fontsize=16,color="black",shape="box"];1064 -> 1122[label="",style="solid", color="black", weight=3];
1065 -> 970[label="",style="dashed", color="red", weight=0];
1065[label="yu300 == yu411000 && yu301 == yu411001",fontsize=16,color="magenta"];1065 -> 1123[label="",style="dashed", color="magenta", weight=3];
1065 -> 1124[label="",style="dashed", color="magenta", weight=3];
1066 -> 970[label="",style="dashed", color="red", weight=0];
1066[label="yu300 == yu411000 && yu301 == yu411001",fontsize=16,color="magenta"];1066 -> 1125[label="",style="dashed", color="magenta", weight=3];
1066 -> 1126[label="",style="dashed", color="magenta", weight=3];
1067[label="primEqDouble (Double yu300 yu301) (Double yu411000 yu411001)",fontsize=16,color="black",shape="box"];1067 -> 1127[label="",style="solid", color="black", weight=3];
1068[label="True",fontsize=16,color="green",shape="box"];1069[label="False",fontsize=16,color="green",shape="box"];1070[label="False",fontsize=16,color="green",shape="box"];1071[label="yu300 == yu411000",fontsize=16,color="blue",shape="box"];1693[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1693[label="",style="solid", color="blue", weight=9];
1693 -> 1128[label="",style="solid", color="blue", weight=3];
1694[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1694[label="",style="solid", color="blue", weight=9];
1694 -> 1129[label="",style="solid", color="blue", weight=3];
1695[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1695[label="",style="solid", color="blue", weight=9];
1695 -> 1130[label="",style="solid", color="blue", weight=3];
1696[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1696[label="",style="solid", color="blue", weight=9];
1696 -> 1131[label="",style="solid", color="blue", weight=3];
1697[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1697[label="",style="solid", color="blue", weight=9];
1697 -> 1132[label="",style="solid", color="blue", weight=3];
1698[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1698[label="",style="solid", color="blue", weight=9];
1698 -> 1133[label="",style="solid", color="blue", weight=3];
1699[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1699[label="",style="solid", color="blue", weight=9];
1699 -> 1134[label="",style="solid", color="blue", weight=3];
1700[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1700[label="",style="solid", color="blue", weight=9];
1700 -> 1135[label="",style="solid", color="blue", weight=3];
1701[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1701[label="",style="solid", color="blue", weight=9];
1701 -> 1136[label="",style="solid", color="blue", weight=3];
1702[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1702[label="",style="solid", color="blue", weight=9];
1702 -> 1137[label="",style="solid", color="blue", weight=3];
1703[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1703[label="",style="solid", color="blue", weight=9];
1703 -> 1138[label="",style="solid", color="blue", weight=3];
1704[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1704[label="",style="solid", color="blue", weight=9];
1704 -> 1139[label="",style="solid", color="blue", weight=3];
1705[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1705[label="",style="solid", color="blue", weight=9];
1705 -> 1140[label="",style="solid", color="blue", weight=3];
1706[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1071 -> 1706[label="",style="solid", color="blue", weight=9];
1706 -> 1141[label="",style="solid", color="blue", weight=3];
1072[label="primEqFloat (Float yu300 yu301) (Float yu411000 yu411001)",fontsize=16,color="black",shape="box"];1072 -> 1142[label="",style="solid", color="black", weight=3];
1073[label="True",fontsize=16,color="green",shape="box"];1074[label="False",fontsize=16,color="green",shape="box"];1075[label="False",fontsize=16,color="green",shape="box"];1076[label="False",fontsize=16,color="green",shape="box"];1077[label="True",fontsize=16,color="green",shape="box"];1078[label="False",fontsize=16,color="green",shape="box"];1079[label="False",fontsize=16,color="green",shape="box"];1080[label="False",fontsize=16,color="green",shape="box"];1081[label="True",fontsize=16,color="green",shape="box"];1082 -> 997[label="",style="dashed", color="red", weight=0];
1082[label="primEqInt yu300 yu411000",fontsize=16,color="magenta"];1082 -> 1143[label="",style="dashed", color="magenta", weight=3];
1082 -> 1144[label="",style="dashed", color="magenta", weight=3];
1516 -> 1551[label="",style="dashed", color="red", weight=0];
1516[label="primPlusNat yu48 (Succ Zero)",fontsize=16,color="magenta"];1516 -> 1552[label="",style="dashed", color="magenta", weight=3];
1516 -> 1553[label="",style="dashed", color="magenta", weight=3];
1517 -> 957[label="",style="dashed", color="red", weight=0];
1517[label="foldr (++) [] (map (List.findIndices0 (yu3 ==)) (zipWith zip0 yu4111 (numericEnumFrom $! Pos (primPlusNat yu48 (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="magenta"];1517 -> 1524[label="",style="dashed", color="magenta", weight=3];
1517 -> 1525[label="",style="dashed", color="magenta", weight=3];
1084[label="yu300 == yu411000",fontsize=16,color="blue",shape="box"];1707[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1707[label="",style="solid", color="blue", weight=9];
1707 -> 1146[label="",style="solid", color="blue", weight=3];
1708[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1708[label="",style="solid", color="blue", weight=9];
1708 -> 1147[label="",style="solid", color="blue", weight=3];
1709[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1709[label="",style="solid", color="blue", weight=9];
1709 -> 1148[label="",style="solid", color="blue", weight=3];
1710[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1710[label="",style="solid", color="blue", weight=9];
1710 -> 1149[label="",style="solid", color="blue", weight=3];
1711[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1711[label="",style="solid", color="blue", weight=9];
1711 -> 1150[label="",style="solid", color="blue", weight=3];
1712[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1712[label="",style="solid", color="blue", weight=9];
1712 -> 1151[label="",style="solid", color="blue", weight=3];
1713[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1713[label="",style="solid", color="blue", weight=9];
1713 -> 1152[label="",style="solid", color="blue", weight=3];
1714[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1714[label="",style="solid", color="blue", weight=9];
1714 -> 1153[label="",style="solid", color="blue", weight=3];
1715[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1715[label="",style="solid", color="blue", weight=9];
1715 -> 1154[label="",style="solid", color="blue", weight=3];
1716[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1716[label="",style="solid", color="blue", weight=9];
1716 -> 1155[label="",style="solid", color="blue", weight=3];
1717[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1717[label="",style="solid", color="blue", weight=9];
1717 -> 1156[label="",style="solid", color="blue", weight=3];
1718[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1718[label="",style="solid", color="blue", weight=9];
1718 -> 1157[label="",style="solid", color="blue", weight=3];
1719[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1719[label="",style="solid", color="blue", weight=9];
1719 -> 1158[label="",style="solid", color="blue", weight=3];
1720[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1084 -> 1720[label="",style="solid", color="blue", weight=9];
1720 -> 1159[label="",style="solid", color="blue", weight=3];
1085 -> 970[label="",style="dashed", color="red", weight=0];
1085[label="yu301 == yu411001 && yu302 == yu411002",fontsize=16,color="magenta"];1085 -> 1160[label="",style="dashed", color="magenta", weight=3];
1085 -> 1161[label="",style="dashed", color="magenta", weight=3];
1086[label="primEqInt (Pos (Succ yu3000)) (Pos yu411000)",fontsize=16,color="burlywood",shape="box"];1721[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1086 -> 1721[label="",style="solid", color="burlywood", weight=9];
1721 -> 1162[label="",style="solid", color="burlywood", weight=3];
1722[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1086 -> 1722[label="",style="solid", color="burlywood", weight=9];
1722 -> 1163[label="",style="solid", color="burlywood", weight=3];
1087[label="primEqInt (Pos (Succ yu3000)) (Neg yu411000)",fontsize=16,color="black",shape="box"];1087 -> 1164[label="",style="solid", color="black", weight=3];
1088[label="primEqInt (Pos Zero) (Pos yu411000)",fontsize=16,color="burlywood",shape="box"];1723[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1088 -> 1723[label="",style="solid", color="burlywood", weight=9];
1723 -> 1165[label="",style="solid", color="burlywood", weight=3];
1724[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1088 -> 1724[label="",style="solid", color="burlywood", weight=9];
1724 -> 1166[label="",style="solid", color="burlywood", weight=3];
1089[label="primEqInt (Pos Zero) (Neg yu411000)",fontsize=16,color="burlywood",shape="box"];1725[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1089 -> 1725[label="",style="solid", color="burlywood", weight=9];
1725 -> 1167[label="",style="solid", color="burlywood", weight=3];
1726[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1089 -> 1726[label="",style="solid", color="burlywood", weight=9];
1726 -> 1168[label="",style="solid", color="burlywood", weight=3];
1090[label="primEqInt (Neg (Succ yu3000)) (Pos yu411000)",fontsize=16,color="black",shape="box"];1090 -> 1169[label="",style="solid", color="black", weight=3];
1091[label="primEqInt (Neg (Succ yu3000)) (Neg yu411000)",fontsize=16,color="burlywood",shape="box"];1727[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1091 -> 1727[label="",style="solid", color="burlywood", weight=9];
1727 -> 1170[label="",style="solid", color="burlywood", weight=3];
1728[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1091 -> 1728[label="",style="solid", color="burlywood", weight=9];
1728 -> 1171[label="",style="solid", color="burlywood", weight=3];
1092[label="primEqInt (Neg Zero) (Pos yu411000)",fontsize=16,color="burlywood",shape="box"];1729[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1092 -> 1729[label="",style="solid", color="burlywood", weight=9];
1729 -> 1172[label="",style="solid", color="burlywood", weight=3];
1730[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1092 -> 1730[label="",style="solid", color="burlywood", weight=9];
1730 -> 1173[label="",style="solid", color="burlywood", weight=3];
1093[label="primEqInt (Neg Zero) (Neg yu411000)",fontsize=16,color="burlywood",shape="box"];1731[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1093 -> 1731[label="",style="solid", color="burlywood", weight=9];
1731 -> 1174[label="",style="solid", color="burlywood", weight=3];
1732[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1093 -> 1732[label="",style="solid", color="burlywood", weight=9];
1732 -> 1175[label="",style="solid", color="burlywood", weight=3];
1094 -> 976[label="",style="dashed", color="red", weight=0];
1094[label="yu300 == yu411000",fontsize=16,color="magenta"];1094 -> 1176[label="",style="dashed", color="magenta", weight=3];
1094 -> 1177[label="",style="dashed", color="magenta", weight=3];
1095 -> 977[label="",style="dashed", color="red", weight=0];
1095[label="yu300 == yu411000",fontsize=16,color="magenta"];1095 -> 1178[label="",style="dashed", color="magenta", weight=3];
1095 -> 1179[label="",style="dashed", color="magenta", weight=3];
1096 -> 978[label="",style="dashed", color="red", weight=0];
1096[label="yu300 == yu411000",fontsize=16,color="magenta"];1096 -> 1180[label="",style="dashed", color="magenta", weight=3];
1096 -> 1181[label="",style="dashed", color="magenta", weight=3];
1097 -> 979[label="",style="dashed", color="red", weight=0];
1097[label="yu300 == yu411000",fontsize=16,color="magenta"];1097 -> 1182[label="",style="dashed", color="magenta", weight=3];
1097 -> 1183[label="",style="dashed", color="magenta", weight=3];
1098 -> 980[label="",style="dashed", color="red", weight=0];
1098[label="yu300 == yu411000",fontsize=16,color="magenta"];1098 -> 1184[label="",style="dashed", color="magenta", weight=3];
1098 -> 1185[label="",style="dashed", color="magenta", weight=3];
1099 -> 981[label="",style="dashed", color="red", weight=0];
1099[label="yu300 == yu411000",fontsize=16,color="magenta"];1099 -> 1186[label="",style="dashed", color="magenta", weight=3];
1099 -> 1187[label="",style="dashed", color="magenta", weight=3];
1100 -> 982[label="",style="dashed", color="red", weight=0];
1100[label="yu300 == yu411000",fontsize=16,color="magenta"];1100 -> 1188[label="",style="dashed", color="magenta", weight=3];
1100 -> 1189[label="",style="dashed", color="magenta", weight=3];
1101 -> 983[label="",style="dashed", color="red", weight=0];
1101[label="yu300 == yu411000",fontsize=16,color="magenta"];1101 -> 1190[label="",style="dashed", color="magenta", weight=3];
1101 -> 1191[label="",style="dashed", color="magenta", weight=3];
1102 -> 984[label="",style="dashed", color="red", weight=0];
1102[label="yu300 == yu411000",fontsize=16,color="magenta"];1102 -> 1192[label="",style="dashed", color="magenta", weight=3];
1102 -> 1193[label="",style="dashed", color="magenta", weight=3];
1103 -> 985[label="",style="dashed", color="red", weight=0];
1103[label="yu300 == yu411000",fontsize=16,color="magenta"];1103 -> 1194[label="",style="dashed", color="magenta", weight=3];
1103 -> 1195[label="",style="dashed", color="magenta", weight=3];
1104 -> 986[label="",style="dashed", color="red", weight=0];
1104[label="yu300 == yu411000",fontsize=16,color="magenta"];1104 -> 1196[label="",style="dashed", color="magenta", weight=3];
1104 -> 1197[label="",style="dashed", color="magenta", weight=3];
1105 -> 987[label="",style="dashed", color="red", weight=0];
1105[label="yu300 == yu411000",fontsize=16,color="magenta"];1105 -> 1198[label="",style="dashed", color="magenta", weight=3];
1105 -> 1199[label="",style="dashed", color="magenta", weight=3];
1106 -> 988[label="",style="dashed", color="red", weight=0];
1106[label="yu300 == yu411000",fontsize=16,color="magenta"];1106 -> 1200[label="",style="dashed", color="magenta", weight=3];
1106 -> 1201[label="",style="dashed", color="magenta", weight=3];
1107 -> 912[label="",style="dashed", color="red", weight=0];
1107[label="yu300 == yu411000",fontsize=16,color="magenta"];1107 -> 1202[label="",style="dashed", color="magenta", weight=3];
1107 -> 1203[label="",style="dashed", color="magenta", weight=3];
1108 -> 976[label="",style="dashed", color="red", weight=0];
1108[label="yu300 == yu411000",fontsize=16,color="magenta"];1108 -> 1204[label="",style="dashed", color="magenta", weight=3];
1108 -> 1205[label="",style="dashed", color="magenta", weight=3];
1109 -> 977[label="",style="dashed", color="red", weight=0];
1109[label="yu300 == yu411000",fontsize=16,color="magenta"];1109 -> 1206[label="",style="dashed", color="magenta", weight=3];
1109 -> 1207[label="",style="dashed", color="magenta", weight=3];
1110 -> 978[label="",style="dashed", color="red", weight=0];
1110[label="yu300 == yu411000",fontsize=16,color="magenta"];1110 -> 1208[label="",style="dashed", color="magenta", weight=3];
1110 -> 1209[label="",style="dashed", color="magenta", weight=3];
1111 -> 979[label="",style="dashed", color="red", weight=0];
1111[label="yu300 == yu411000",fontsize=16,color="magenta"];1111 -> 1210[label="",style="dashed", color="magenta", weight=3];
1111 -> 1211[label="",style="dashed", color="magenta", weight=3];
1112 -> 980[label="",style="dashed", color="red", weight=0];
1112[label="yu300 == yu411000",fontsize=16,color="magenta"];1112 -> 1212[label="",style="dashed", color="magenta", weight=3];
1112 -> 1213[label="",style="dashed", color="magenta", weight=3];
1113 -> 981[label="",style="dashed", color="red", weight=0];
1113[label="yu300 == yu411000",fontsize=16,color="magenta"];1113 -> 1214[label="",style="dashed", color="magenta", weight=3];
1113 -> 1215[label="",style="dashed", color="magenta", weight=3];
1114 -> 982[label="",style="dashed", color="red", weight=0];
1114[label="yu300 == yu411000",fontsize=16,color="magenta"];1114 -> 1216[label="",style="dashed", color="magenta", weight=3];
1114 -> 1217[label="",style="dashed", color="magenta", weight=3];
1115 -> 983[label="",style="dashed", color="red", weight=0];
1115[label="yu300 == yu411000",fontsize=16,color="magenta"];1115 -> 1218[label="",style="dashed", color="magenta", weight=3];
1115 -> 1219[label="",style="dashed", color="magenta", weight=3];
1116 -> 984[label="",style="dashed", color="red", weight=0];
1116[label="yu300 == yu411000",fontsize=16,color="magenta"];1116 -> 1220[label="",style="dashed", color="magenta", weight=3];
1116 -> 1221[label="",style="dashed", color="magenta", weight=3];
1117 -> 985[label="",style="dashed", color="red", weight=0];
1117[label="yu300 == yu411000",fontsize=16,color="magenta"];1117 -> 1222[label="",style="dashed", color="magenta", weight=3];
1117 -> 1223[label="",style="dashed", color="magenta", weight=3];
1118 -> 986[label="",style="dashed", color="red", weight=0];
1118[label="yu300 == yu411000",fontsize=16,color="magenta"];1118 -> 1224[label="",style="dashed", color="magenta", weight=3];
1118 -> 1225[label="",style="dashed", color="magenta", weight=3];
1119 -> 987[label="",style="dashed", color="red", weight=0];
1119[label="yu300 == yu411000",fontsize=16,color="magenta"];1119 -> 1226[label="",style="dashed", color="magenta", weight=3];
1119 -> 1227[label="",style="dashed", color="magenta", weight=3];
1120 -> 988[label="",style="dashed", color="red", weight=0];
1120[label="yu300 == yu411000",fontsize=16,color="magenta"];1120 -> 1228[label="",style="dashed", color="magenta", weight=3];
1120 -> 1229[label="",style="dashed", color="magenta", weight=3];
1121 -> 912[label="",style="dashed", color="red", weight=0];
1121[label="yu300 == yu411000",fontsize=16,color="magenta"];1121 -> 1230[label="",style="dashed", color="magenta", weight=3];
1121 -> 1231[label="",style="dashed", color="magenta", weight=3];
1122[label="primEqNat yu300 yu411000",fontsize=16,color="burlywood",shape="triangle"];1733[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];1122 -> 1733[label="",style="solid", color="burlywood", weight=9];
1733 -> 1232[label="",style="solid", color="burlywood", weight=3];
1734[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];1122 -> 1734[label="",style="solid", color="burlywood", weight=9];
1734 -> 1233[label="",style="solid", color="burlywood", weight=3];
1123[label="yu300 == yu411000",fontsize=16,color="blue",shape="box"];1735[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1123 -> 1735[label="",style="solid", color="blue", weight=9];
1735 -> 1234[label="",style="solid", color="blue", weight=3];
1736[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1123 -> 1736[label="",style="solid", color="blue", weight=9];
1736 -> 1235[label="",style="solid", color="blue", weight=3];
1124[label="yu301 == yu411001",fontsize=16,color="blue",shape="box"];1737[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1737[label="",style="solid", color="blue", weight=9];
1737 -> 1236[label="",style="solid", color="blue", weight=3];
1738[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1738[label="",style="solid", color="blue", weight=9];
1738 -> 1237[label="",style="solid", color="blue", weight=3];
1125[label="yu300 == yu411000",fontsize=16,color="blue",shape="box"];1739[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1739[label="",style="solid", color="blue", weight=9];
1739 -> 1238[label="",style="solid", color="blue", weight=3];
1740[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1740[label="",style="solid", color="blue", weight=9];
1740 -> 1239[label="",style="solid", color="blue", weight=3];
1741[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1741[label="",style="solid", color="blue", weight=9];
1741 -> 1240[label="",style="solid", color="blue", weight=3];
1742[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1742[label="",style="solid", color="blue", weight=9];
1742 -> 1241[label="",style="solid", color="blue", weight=3];
1743[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1743[label="",style="solid", color="blue", weight=9];
1743 -> 1242[label="",style="solid", color="blue", weight=3];
1744[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1744[label="",style="solid", color="blue", weight=9];
1744 -> 1243[label="",style="solid", color="blue", weight=3];
1745[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1745[label="",style="solid", color="blue", weight=9];
1745 -> 1244[label="",style="solid", color="blue", weight=3];
1746[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1746[label="",style="solid", color="blue", weight=9];
1746 -> 1245[label="",style="solid", color="blue", weight=3];
1747[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1747[label="",style="solid", color="blue", weight=9];
1747 -> 1246[label="",style="solid", color="blue", weight=3];
1748[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1748[label="",style="solid", color="blue", weight=9];
1748 -> 1247[label="",style="solid", color="blue", weight=3];
1749[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1749[label="",style="solid", color="blue", weight=9];
1749 -> 1248[label="",style="solid", color="blue", weight=3];
1750[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1750[label="",style="solid", color="blue", weight=9];
1750 -> 1249[label="",style="solid", color="blue", weight=3];
1751[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1751[label="",style="solid", color="blue", weight=9];
1751 -> 1250[label="",style="solid", color="blue", weight=3];
1752[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1752[label="",style="solid", color="blue", weight=9];
1752 -> 1251[label="",style="solid", color="blue", weight=3];
1126[label="yu301 == yu411001",fontsize=16,color="blue",shape="box"];1753[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1753[label="",style="solid", color="blue", weight=9];
1753 -> 1252[label="",style="solid", color="blue", weight=3];
1754[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1754[label="",style="solid", color="blue", weight=9];
1754 -> 1253[label="",style="solid", color="blue", weight=3];
1755[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1755[label="",style="solid", color="blue", weight=9];
1755 -> 1254[label="",style="solid", color="blue", weight=3];
1756[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1756[label="",style="solid", color="blue", weight=9];
1756 -> 1255[label="",style="solid", color="blue", weight=3];
1757[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1757[label="",style="solid", color="blue", weight=9];
1757 -> 1256[label="",style="solid", color="blue", weight=3];
1758[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1758[label="",style="solid", color="blue", weight=9];
1758 -> 1257[label="",style="solid", color="blue", weight=3];
1759[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1759[label="",style="solid", color="blue", weight=9];
1759 -> 1258[label="",style="solid", color="blue", weight=3];
1760[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1760[label="",style="solid", color="blue", weight=9];
1760 -> 1259[label="",style="solid", color="blue", weight=3];
1761[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1761[label="",style="solid", color="blue", weight=9];
1761 -> 1260[label="",style="solid", color="blue", weight=3];
1762[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1762[label="",style="solid", color="blue", weight=9];
1762 -> 1261[label="",style="solid", color="blue", weight=3];
1763[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1763[label="",style="solid", color="blue", weight=9];
1763 -> 1262[label="",style="solid", color="blue", weight=3];
1764[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1764[label="",style="solid", color="blue", weight=9];
1764 -> 1263[label="",style="solid", color="blue", weight=3];
1765[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1765[label="",style="solid", color="blue", weight=9];
1765 -> 1264[label="",style="solid", color="blue", weight=3];
1766[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1126 -> 1766[label="",style="solid", color="blue", weight=9];
1766 -> 1265[label="",style="solid", color="blue", weight=3];
1127 -> 978[label="",style="dashed", color="red", weight=0];
1127[label="yu300 * yu411001 == yu301 * yu411000",fontsize=16,color="magenta"];1127 -> 1266[label="",style="dashed", color="magenta", weight=3];
1127 -> 1267[label="",style="dashed", color="magenta", weight=3];
1128 -> 976[label="",style="dashed", color="red", weight=0];
1128[label="yu300 == yu411000",fontsize=16,color="magenta"];1128 -> 1268[label="",style="dashed", color="magenta", weight=3];
1128 -> 1269[label="",style="dashed", color="magenta", weight=3];
1129 -> 977[label="",style="dashed", color="red", weight=0];
1129[label="yu300 == yu411000",fontsize=16,color="magenta"];1129 -> 1270[label="",style="dashed", color="magenta", weight=3];
1129 -> 1271[label="",style="dashed", color="magenta", weight=3];
1130 -> 978[label="",style="dashed", color="red", weight=0];
1130[label="yu300 == yu411000",fontsize=16,color="magenta"];1130 -> 1272[label="",style="dashed", color="magenta", weight=3];
1130 -> 1273[label="",style="dashed", color="magenta", weight=3];
1131 -> 979[label="",style="dashed", color="red", weight=0];
1131[label="yu300 == yu411000",fontsize=16,color="magenta"];1131 -> 1274[label="",style="dashed", color="magenta", weight=3];
1131 -> 1275[label="",style="dashed", color="magenta", weight=3];
1132 -> 980[label="",style="dashed", color="red", weight=0];
1132[label="yu300 == yu411000",fontsize=16,color="magenta"];1132 -> 1276[label="",style="dashed", color="magenta", weight=3];
1132 -> 1277[label="",style="dashed", color="magenta", weight=3];
1133 -> 981[label="",style="dashed", color="red", weight=0];
1133[label="yu300 == yu411000",fontsize=16,color="magenta"];1133 -> 1278[label="",style="dashed", color="magenta", weight=3];
1133 -> 1279[label="",style="dashed", color="magenta", weight=3];
1134 -> 982[label="",style="dashed", color="red", weight=0];
1134[label="yu300 == yu411000",fontsize=16,color="magenta"];1134 -> 1280[label="",style="dashed", color="magenta", weight=3];
1134 -> 1281[label="",style="dashed", color="magenta", weight=3];
1135 -> 983[label="",style="dashed", color="red", weight=0];
1135[label="yu300 == yu411000",fontsize=16,color="magenta"];1135 -> 1282[label="",style="dashed", color="magenta", weight=3];
1135 -> 1283[label="",style="dashed", color="magenta", weight=3];
1136 -> 984[label="",style="dashed", color="red", weight=0];
1136[label="yu300 == yu411000",fontsize=16,color="magenta"];1136 -> 1284[label="",style="dashed", color="magenta", weight=3];
1136 -> 1285[label="",style="dashed", color="magenta", weight=3];
1137 -> 985[label="",style="dashed", color="red", weight=0];
1137[label="yu300 == yu411000",fontsize=16,color="magenta"];1137 -> 1286[label="",style="dashed", color="magenta", weight=3];
1137 -> 1287[label="",style="dashed", color="magenta", weight=3];
1138 -> 986[label="",style="dashed", color="red", weight=0];
1138[label="yu300 == yu411000",fontsize=16,color="magenta"];1138 -> 1288[label="",style="dashed", color="magenta", weight=3];
1138 -> 1289[label="",style="dashed", color="magenta", weight=3];
1139 -> 987[label="",style="dashed", color="red", weight=0];
1139[label="yu300 == yu411000",fontsize=16,color="magenta"];1139 -> 1290[label="",style="dashed", color="magenta", weight=3];
1139 -> 1291[label="",style="dashed", color="magenta", weight=3];
1140 -> 988[label="",style="dashed", color="red", weight=0];
1140[label="yu300 == yu411000",fontsize=16,color="magenta"];1140 -> 1292[label="",style="dashed", color="magenta", weight=3];
1140 -> 1293[label="",style="dashed", color="magenta", weight=3];
1141 -> 912[label="",style="dashed", color="red", weight=0];
1141[label="yu300 == yu411000",fontsize=16,color="magenta"];1141 -> 1294[label="",style="dashed", color="magenta", weight=3];
1141 -> 1295[label="",style="dashed", color="magenta", weight=3];
1142 -> 978[label="",style="dashed", color="red", weight=0];
1142[label="yu300 * yu411001 == yu301 * yu411000",fontsize=16,color="magenta"];1142 -> 1296[label="",style="dashed", color="magenta", weight=3];
1142 -> 1297[label="",style="dashed", color="magenta", weight=3];
1143[label="yu300",fontsize=16,color="green",shape="box"];1144[label="yu411000",fontsize=16,color="green",shape="box"];1552[label="Zero",fontsize=16,color="green",shape="box"];1553[label="yu48",fontsize=16,color="green",shape="box"];1551[label="primPlusNat yu55 (Succ yu41100100)",fontsize=16,color="burlywood",shape="triangle"];1767[label="yu55/Succ yu550",fontsize=10,color="white",style="solid",shape="box"];1551 -> 1767[label="",style="solid", color="burlywood", weight=9];
1767 -> 1557[label="",style="solid", color="burlywood", weight=3];
1768[label="yu55/Zero",fontsize=10,color="white",style="solid",shape="box"];1551 -> 1768[label="",style="solid", color="burlywood", weight=9];
1768 -> 1558[label="",style="solid", color="burlywood", weight=3];
1524[label="yu4111",fontsize=16,color="green",shape="box"];1525 -> 1551[label="",style="dashed", color="red", weight=0];
1525[label="primPlusNat yu48 (Succ Zero)",fontsize=16,color="magenta"];1525 -> 1554[label="",style="dashed", color="magenta", weight=3];
1525 -> 1555[label="",style="dashed", color="magenta", weight=3];
1146 -> 976[label="",style="dashed", color="red", weight=0];
1146[label="yu300 == yu411000",fontsize=16,color="magenta"];1146 -> 1299[label="",style="dashed", color="magenta", weight=3];
1146 -> 1300[label="",style="dashed", color="magenta", weight=3];
1147 -> 977[label="",style="dashed", color="red", weight=0];
1147[label="yu300 == yu411000",fontsize=16,color="magenta"];1147 -> 1301[label="",style="dashed", color="magenta", weight=3];
1147 -> 1302[label="",style="dashed", color="magenta", weight=3];
1148 -> 978[label="",style="dashed", color="red", weight=0];
1148[label="yu300 == yu411000",fontsize=16,color="magenta"];1148 -> 1303[label="",style="dashed", color="magenta", weight=3];
1148 -> 1304[label="",style="dashed", color="magenta", weight=3];
1149 -> 979[label="",style="dashed", color="red", weight=0];
1149[label="yu300 == yu411000",fontsize=16,color="magenta"];1149 -> 1305[label="",style="dashed", color="magenta", weight=3];
1149 -> 1306[label="",style="dashed", color="magenta", weight=3];
1150 -> 980[label="",style="dashed", color="red", weight=0];
1150[label="yu300 == yu411000",fontsize=16,color="magenta"];1150 -> 1307[label="",style="dashed", color="magenta", weight=3];
1150 -> 1308[label="",style="dashed", color="magenta", weight=3];
1151 -> 981[label="",style="dashed", color="red", weight=0];
1151[label="yu300 == yu411000",fontsize=16,color="magenta"];1151 -> 1309[label="",style="dashed", color="magenta", weight=3];
1151 -> 1310[label="",style="dashed", color="magenta", weight=3];
1152 -> 982[label="",style="dashed", color="red", weight=0];
1152[label="yu300 == yu411000",fontsize=16,color="magenta"];1152 -> 1311[label="",style="dashed", color="magenta", weight=3];
1152 -> 1312[label="",style="dashed", color="magenta", weight=3];
1153 -> 983[label="",style="dashed", color="red", weight=0];
1153[label="yu300 == yu411000",fontsize=16,color="magenta"];1153 -> 1313[label="",style="dashed", color="magenta", weight=3];
1153 -> 1314[label="",style="dashed", color="magenta", weight=3];
1154 -> 984[label="",style="dashed", color="red", weight=0];
1154[label="yu300 == yu411000",fontsize=16,color="magenta"];1154 -> 1315[label="",style="dashed", color="magenta", weight=3];
1154 -> 1316[label="",style="dashed", color="magenta", weight=3];
1155 -> 985[label="",style="dashed", color="red", weight=0];
1155[label="yu300 == yu411000",fontsize=16,color="magenta"];1155 -> 1317[label="",style="dashed", color="magenta", weight=3];
1155 -> 1318[label="",style="dashed", color="magenta", weight=3];
1156 -> 986[label="",style="dashed", color="red", weight=0];
1156[label="yu300 == yu411000",fontsize=16,color="magenta"];1156 -> 1319[label="",style="dashed", color="magenta", weight=3];
1156 -> 1320[label="",style="dashed", color="magenta", weight=3];
1157 -> 987[label="",style="dashed", color="red", weight=0];
1157[label="yu300 == yu411000",fontsize=16,color="magenta"];1157 -> 1321[label="",style="dashed", color="magenta", weight=3];
1157 -> 1322[label="",style="dashed", color="magenta", weight=3];
1158 -> 988[label="",style="dashed", color="red", weight=0];
1158[label="yu300 == yu411000",fontsize=16,color="magenta"];1158 -> 1323[label="",style="dashed", color="magenta", weight=3];
1158 -> 1324[label="",style="dashed", color="magenta", weight=3];
1159 -> 912[label="",style="dashed", color="red", weight=0];
1159[label="yu300 == yu411000",fontsize=16,color="magenta"];1159 -> 1325[label="",style="dashed", color="magenta", weight=3];
1159 -> 1326[label="",style="dashed", color="magenta", weight=3];
1160[label="yu301 == yu411001",fontsize=16,color="blue",shape="box"];1769[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1769[label="",style="solid", color="blue", weight=9];
1769 -> 1327[label="",style="solid", color="blue", weight=3];
1770[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1770[label="",style="solid", color="blue", weight=9];
1770 -> 1328[label="",style="solid", color="blue", weight=3];
1771[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1771[label="",style="solid", color="blue", weight=9];
1771 -> 1329[label="",style="solid", color="blue", weight=3];
1772[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1772[label="",style="solid", color="blue", weight=9];
1772 -> 1330[label="",style="solid", color="blue", weight=3];
1773[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1773[label="",style="solid", color="blue", weight=9];
1773 -> 1331[label="",style="solid", color="blue", weight=3];
1774[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1774[label="",style="solid", color="blue", weight=9];
1774 -> 1332[label="",style="solid", color="blue", weight=3];
1775[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1775[label="",style="solid", color="blue", weight=9];
1775 -> 1333[label="",style="solid", color="blue", weight=3];
1776[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1776[label="",style="solid", color="blue", weight=9];
1776 -> 1334[label="",style="solid", color="blue", weight=3];
1777[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1777[label="",style="solid", color="blue", weight=9];
1777 -> 1335[label="",style="solid", color="blue", weight=3];
1778[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1778[label="",style="solid", color="blue", weight=9];
1778 -> 1336[label="",style="solid", color="blue", weight=3];
1779[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1779[label="",style="solid", color="blue", weight=9];
1779 -> 1337[label="",style="solid", color="blue", weight=3];
1780[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1780[label="",style="solid", color="blue", weight=9];
1780 -> 1338[label="",style="solid", color="blue", weight=3];
1781[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1781[label="",style="solid", color="blue", weight=9];
1781 -> 1339[label="",style="solid", color="blue", weight=3];
1782[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1160 -> 1782[label="",style="solid", color="blue", weight=9];
1782 -> 1340[label="",style="solid", color="blue", weight=3];
1161[label="yu302 == yu411002",fontsize=16,color="blue",shape="box"];1783[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1783[label="",style="solid", color="blue", weight=9];
1783 -> 1341[label="",style="solid", color="blue", weight=3];
1784[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1784[label="",style="solid", color="blue", weight=9];
1784 -> 1342[label="",style="solid", color="blue", weight=3];
1785[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1785[label="",style="solid", color="blue", weight=9];
1785 -> 1343[label="",style="solid", color="blue", weight=3];
1786[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1786[label="",style="solid", color="blue", weight=9];
1786 -> 1344[label="",style="solid", color="blue", weight=3];
1787[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1787[label="",style="solid", color="blue", weight=9];
1787 -> 1345[label="",style="solid", color="blue", weight=3];
1788[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1788[label="",style="solid", color="blue", weight=9];
1788 -> 1346[label="",style="solid", color="blue", weight=3];
1789[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1789[label="",style="solid", color="blue", weight=9];
1789 -> 1347[label="",style="solid", color="blue", weight=3];
1790[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1790[label="",style="solid", color="blue", weight=9];
1790 -> 1348[label="",style="solid", color="blue", weight=3];
1791[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1791[label="",style="solid", color="blue", weight=9];
1791 -> 1349[label="",style="solid", color="blue", weight=3];
1792[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1792[label="",style="solid", color="blue", weight=9];
1792 -> 1350[label="",style="solid", color="blue", weight=3];
1793[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1793[label="",style="solid", color="blue", weight=9];
1793 -> 1351[label="",style="solid", color="blue", weight=3];
1794[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1794[label="",style="solid", color="blue", weight=9];
1794 -> 1352[label="",style="solid", color="blue", weight=3];
1795[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1795[label="",style="solid", color="blue", weight=9];
1795 -> 1353[label="",style="solid", color="blue", weight=3];
1796[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1161 -> 1796[label="",style="solid", color="blue", weight=9];
1796 -> 1354[label="",style="solid", color="blue", weight=3];
1162[label="primEqInt (Pos (Succ yu3000)) (Pos (Succ yu4110000))",fontsize=16,color="black",shape="box"];1162 -> 1355[label="",style="solid", color="black", weight=3];
1163[label="primEqInt (Pos (Succ yu3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];1163 -> 1356[label="",style="solid", color="black", weight=3];
1164[label="False",fontsize=16,color="green",shape="box"];1165[label="primEqInt (Pos Zero) (Pos (Succ yu4110000))",fontsize=16,color="black",shape="box"];1165 -> 1357[label="",style="solid", color="black", weight=3];
1166[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];1166 -> 1358[label="",style="solid", color="black", weight=3];
1167[label="primEqInt (Pos Zero) (Neg (Succ yu4110000))",fontsize=16,color="black",shape="box"];1167 -> 1359[label="",style="solid", color="black", weight=3];
1168[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];1168 -> 1360[label="",style="solid", color="black", weight=3];
1169[label="False",fontsize=16,color="green",shape="box"];1170[label="primEqInt (Neg (Succ yu3000)) (Neg (Succ yu4110000))",fontsize=16,color="black",shape="box"];1170 -> 1361[label="",style="solid", color="black", weight=3];
1171[label="primEqInt (Neg (Succ yu3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];1171 -> 1362[label="",style="solid", color="black", weight=3];
1172[label="primEqInt (Neg Zero) (Pos (Succ yu4110000))",fontsize=16,color="black",shape="box"];1172 -> 1363[label="",style="solid", color="black", weight=3];
1173[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];1173 -> 1364[label="",style="solid", color="black", weight=3];
1174[label="primEqInt (Neg Zero) (Neg (Succ yu4110000))",fontsize=16,color="black",shape="box"];1174 -> 1365[label="",style="solid", color="black", weight=3];
1175[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];1175 -> 1366[label="",style="solid", color="black", weight=3];
1176[label="yu300",fontsize=16,color="green",shape="box"];1177[label="yu411000",fontsize=16,color="green",shape="box"];1178[label="yu300",fontsize=16,color="green",shape="box"];1179[label="yu411000",fontsize=16,color="green",shape="box"];1180[label="yu300",fontsize=16,color="green",shape="box"];1181[label="yu411000",fontsize=16,color="green",shape="box"];1182[label="yu300",fontsize=16,color="green",shape="box"];1183[label="yu411000",fontsize=16,color="green",shape="box"];1184[label="yu300",fontsize=16,color="green",shape="box"];1185[label="yu411000",fontsize=16,color="green",shape="box"];1186[label="yu300",fontsize=16,color="green",shape="box"];1187[label="yu411000",fontsize=16,color="green",shape="box"];1188[label="yu300",fontsize=16,color="green",shape="box"];1189[label="yu411000",fontsize=16,color="green",shape="box"];1190[label="yu300",fontsize=16,color="green",shape="box"];1191[label="yu411000",fontsize=16,color="green",shape="box"];1192[label="yu300",fontsize=16,color="green",shape="box"];1193[label="yu411000",fontsize=16,color="green",shape="box"];1194[label="yu300",fontsize=16,color="green",shape="box"];1195[label="yu411000",fontsize=16,color="green",shape="box"];1196[label="yu300",fontsize=16,color="green",shape="box"];1197[label="yu411000",fontsize=16,color="green",shape="box"];1198[label="yu300",fontsize=16,color="green",shape="box"];1199[label="yu411000",fontsize=16,color="green",shape="box"];1200[label="yu300",fontsize=16,color="green",shape="box"];1201[label="yu411000",fontsize=16,color="green",shape="box"];1202[label="yu411000",fontsize=16,color="green",shape="box"];1203[label="yu300",fontsize=16,color="green",shape="box"];1204[label="yu300",fontsize=16,color="green",shape="box"];1205[label="yu411000",fontsize=16,color="green",shape="box"];1206[label="yu300",fontsize=16,color="green",shape="box"];1207[label="yu411000",fontsize=16,color="green",shape="box"];1208[label="yu300",fontsize=16,color="green",shape="box"];1209[label="yu411000",fontsize=16,color="green",shape="box"];1210[label="yu300",fontsize=16,color="green",shape="box"];1211[label="yu411000",fontsize=16,color="green",shape="box"];1212[label="yu300",fontsize=16,color="green",shape="box"];1213[label="yu411000",fontsize=16,color="green",shape="box"];1214[label="yu300",fontsize=16,color="green",shape="box"];1215[label="yu411000",fontsize=16,color="green",shape="box"];1216[label="yu300",fontsize=16,color="green",shape="box"];1217[label="yu411000",fontsize=16,color="green",shape="box"];1218[label="yu300",fontsize=16,color="green",shape="box"];1219[label="yu411000",fontsize=16,color="green",shape="box"];1220[label="yu300",fontsize=16,color="green",shape="box"];1221[label="yu411000",fontsize=16,color="green",shape="box"];1222[label="yu300",fontsize=16,color="green",shape="box"];1223[label="yu411000",fontsize=16,color="green",shape="box"];1224[label="yu300",fontsize=16,color="green",shape="box"];1225[label="yu411000",fontsize=16,color="green",shape="box"];1226[label="yu300",fontsize=16,color="green",shape="box"];1227[label="yu411000",fontsize=16,color="green",shape="box"];1228[label="yu300",fontsize=16,color="green",shape="box"];1229[label="yu411000",fontsize=16,color="green",shape="box"];1230[label="yu411000",fontsize=16,color="green",shape="box"];1231[label="yu300",fontsize=16,color="green",shape="box"];1232[label="primEqNat (Succ yu3000) yu411000",fontsize=16,color="burlywood",shape="box"];1797[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1232 -> 1797[label="",style="solid", color="burlywood", weight=9];
1797 -> 1367[label="",style="solid", color="burlywood", weight=3];
1798[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1232 -> 1798[label="",style="solid", color="burlywood", weight=9];
1798 -> 1368[label="",style="solid", color="burlywood", weight=3];
1233[label="primEqNat Zero yu411000",fontsize=16,color="burlywood",shape="box"];1799[label="yu411000/Succ yu4110000",fontsize=10,color="white",style="solid",shape="box"];1233 -> 1799[label="",style="solid", color="burlywood", weight=9];
1799 -> 1369[label="",style="solid", color="burlywood", weight=3];
1800[label="yu411000/Zero",fontsize=10,color="white",style="solid",shape="box"];1233 -> 1800[label="",style="solid", color="burlywood", weight=9];
1800 -> 1370[label="",style="solid", color="burlywood", weight=3];
1234 -> 978[label="",style="dashed", color="red", weight=0];
1234[label="yu300 == yu411000",fontsize=16,color="magenta"];1234 -> 1371[label="",style="dashed", color="magenta", weight=3];
1234 -> 1372[label="",style="dashed", color="magenta", weight=3];
1235 -> 988[label="",style="dashed", color="red", weight=0];
1235[label="yu300 == yu411000",fontsize=16,color="magenta"];1235 -> 1373[label="",style="dashed", color="magenta", weight=3];
1235 -> 1374[label="",style="dashed", color="magenta", weight=3];
1236 -> 978[label="",style="dashed", color="red", weight=0];
1236[label="yu301 == yu411001",fontsize=16,color="magenta"];1236 -> 1375[label="",style="dashed", color="magenta", weight=3];
1236 -> 1376[label="",style="dashed", color="magenta", weight=3];
1237 -> 988[label="",style="dashed", color="red", weight=0];
1237[label="yu301 == yu411001",fontsize=16,color="magenta"];1237 -> 1377[label="",style="dashed", color="magenta", weight=3];
1237 -> 1378[label="",style="dashed", color="magenta", weight=3];
1238 -> 976[label="",style="dashed", color="red", weight=0];
1238[label="yu300 == yu411000",fontsize=16,color="magenta"];1238 -> 1379[label="",style="dashed", color="magenta", weight=3];
1238 -> 1380[label="",style="dashed", color="magenta", weight=3];
1239 -> 977[label="",style="dashed", color="red", weight=0];
1239[label="yu300 == yu411000",fontsize=16,color="magenta"];1239 -> 1381[label="",style="dashed", color="magenta", weight=3];
1239 -> 1382[label="",style="dashed", color="magenta", weight=3];
1240 -> 978[label="",style="dashed", color="red", weight=0];
1240[label="yu300 == yu411000",fontsize=16,color="magenta"];1240 -> 1383[label="",style="dashed", color="magenta", weight=3];
1240 -> 1384[label="",style="dashed", color="magenta", weight=3];
1241 -> 979[label="",style="dashed", color="red", weight=0];
1241[label="yu300 == yu411000",fontsize=16,color="magenta"];1241 -> 1385[label="",style="dashed", color="magenta", weight=3];
1241 -> 1386[label="",style="dashed", color="magenta", weight=3];
1242 -> 980[label="",style="dashed", color="red", weight=0];
1242[label="yu300 == yu411000",fontsize=16,color="magenta"];1242 -> 1387[label="",style="dashed", color="magenta", weight=3];
1242 -> 1388[label="",style="dashed", color="magenta", weight=3];
1243 -> 981[label="",style="dashed", color="red", weight=0];
1243[label="yu300 == yu411000",fontsize=16,color="magenta"];1243 -> 1389[label="",style="dashed", color="magenta", weight=3];
1243 -> 1390[label="",style="dashed", color="magenta", weight=3];
1244 -> 982[label="",style="dashed", color="red", weight=0];
1244[label="yu300 == yu411000",fontsize=16,color="magenta"];1244 -> 1391[label="",style="dashed", color="magenta", weight=3];
1244 -> 1392[label="",style="dashed", color="magenta", weight=3];
1245 -> 983[label="",style="dashed", color="red", weight=0];
1245[label="yu300 == yu411000",fontsize=16,color="magenta"];1245 -> 1393[label="",style="dashed", color="magenta", weight=3];
1245 -> 1394[label="",style="dashed", color="magenta", weight=3];
1246 -> 984[label="",style="dashed", color="red", weight=0];
1246[label="yu300 == yu411000",fontsize=16,color="magenta"];1246 -> 1395[label="",style="dashed", color="magenta", weight=3];
1246 -> 1396[label="",style="dashed", color="magenta", weight=3];
1247 -> 985[label="",style="dashed", color="red", weight=0];
1247[label="yu300 == yu411000",fontsize=16,color="magenta"];1247 -> 1397[label="",style="dashed", color="magenta", weight=3];
1247 -> 1398[label="",style="dashed", color="magenta", weight=3];
1248 -> 986[label="",style="dashed", color="red", weight=0];
1248[label="yu300 == yu411000",fontsize=16,color="magenta"];1248 -> 1399[label="",style="dashed", color="magenta", weight=3];
1248 -> 1400[label="",style="dashed", color="magenta", weight=3];
1249 -> 987[label="",style="dashed", color="red", weight=0];
1249[label="yu300 == yu411000",fontsize=16,color="magenta"];1249 -> 1401[label="",style="dashed", color="magenta", weight=3];
1249 -> 1402[label="",style="dashed", color="magenta", weight=3];
1250 -> 988[label="",style="dashed", color="red", weight=0];
1250[label="yu300 == yu411000",fontsize=16,color="magenta"];1250 -> 1403[label="",style="dashed", color="magenta", weight=3];
1250 -> 1404[label="",style="dashed", color="magenta", weight=3];
1251 -> 912[label="",style="dashed", color="red", weight=0];
1251[label="yu300 == yu411000",fontsize=16,color="magenta"];1251 -> 1405[label="",style="dashed", color="magenta", weight=3];
1251 -> 1406[label="",style="dashed", color="magenta", weight=3];
1252 -> 976[label="",style="dashed", color="red", weight=0];
1252[label="yu301 == yu411001",fontsize=16,color="magenta"];1252 -> 1407[label="",style="dashed", color="magenta", weight=3];
1252 -> 1408[label="",style="dashed", color="magenta", weight=3];
1253 -> 977[label="",style="dashed", color="red", weight=0];
1253[label="yu301 == yu411001",fontsize=16,color="magenta"];1253 -> 1409[label="",style="dashed", color="magenta", weight=3];
1253 -> 1410[label="",style="dashed", color="magenta", weight=3];
1254 -> 978[label="",style="dashed", color="red", weight=0];
1254[label="yu301 == yu411001",fontsize=16,color="magenta"];1254 -> 1411[label="",style="dashed", color="magenta", weight=3];
1254 -> 1412[label="",style="dashed", color="magenta", weight=3];
1255 -> 979[label="",style="dashed", color="red", weight=0];
1255[label="yu301 == yu411001",fontsize=16,color="magenta"];1255 -> 1413[label="",style="dashed", color="magenta", weight=3];
1255 -> 1414[label="",style="dashed", color="magenta", weight=3];
1256 -> 980[label="",style="dashed", color="red", weight=0];
1256[label="yu301 == yu411001",fontsize=16,color="magenta"];1256 -> 1415[label="",style="dashed", color="magenta", weight=3];
1256 -> 1416[label="",style="dashed", color="magenta", weight=3];
1257 -> 981[label="",style="dashed", color="red", weight=0];
1257[label="yu301 == yu411001",fontsize=16,color="magenta"];1257 -> 1417[label="",style="dashed", color="magenta", weight=3];
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1258[label="yu301 == yu411001",fontsize=16,color="magenta"];1258 -> 1419[label="",style="dashed", color="magenta", weight=3];
1258 -> 1420[label="",style="dashed", color="magenta", weight=3];
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1562[label="Succ yu41100100",fontsize=16,color="green",shape="box"];1443[label="yu301",fontsize=16,color="green",shape="box"];1444[label="yu411001",fontsize=16,color="green",shape="box"];1445[label="yu301",fontsize=16,color="green",shape="box"];1446[label="yu411001",fontsize=16,color="green",shape="box"];1447[label="yu301",fontsize=16,color="green",shape="box"];1448[label="yu411001",fontsize=16,color="green",shape="box"];1449[label="yu301",fontsize=16,color="green",shape="box"];1450[label="yu411001",fontsize=16,color="green",shape="box"];1451[label="yu301",fontsize=16,color="green",shape="box"];1452[label="yu411001",fontsize=16,color="green",shape="box"];1453[label="yu301",fontsize=16,color="green",shape="box"];1454[label="yu411001",fontsize=16,color="green",shape="box"];1455[label="yu301",fontsize=16,color="green",shape="box"];1456[label="yu411001",fontsize=16,color="green",shape="box"];1457[label="yu301",fontsize=16,color="green",shape="box"];1458[label="yu411001",fontsize=16,color="green",shape="box"];1459[label="yu301",fontsize=16,color="green",shape="box"];1460[label="yu411001",fontsize=16,color="green",shape="box"];1461[label="yu301",fontsize=16,color="green",shape="box"];1462[label="yu411001",fontsize=16,color="green",shape="box"];1463[label="yu301",fontsize=16,color="green",shape="box"];1464[label="yu411001",fontsize=16,color="green",shape="box"];1465[label="yu301",fontsize=16,color="green",shape="box"];1466[label="yu411001",fontsize=16,color="green",shape="box"];1467[label="yu301",fontsize=16,color="green",shape="box"];1468[label="yu411001",fontsize=16,color="green",shape="box"];1469[label="yu411001",fontsize=16,color="green",shape="box"];1470[label="yu301",fontsize=16,color="green",shape="box"];1471[label="yu302",fontsize=16,color="green",shape="box"];1472[label="yu411002",fontsize=16,color="green",shape="box"];1473[label="yu302",fontsize=16,color="green",shape="box"];1474[label="yu411002",fontsize=16,color="green",shape="box"];1475[label="yu302",fontsize=16,color="green",shape="box"];1476[label="yu411002",fontsize=16,color="green",shape="box"];1477[label="yu302",fontsize=16,color="green",shape="box"];1478[label="yu411002",fontsize=16,color="green",shape="box"];1479[label="yu302",fontsize=16,color="green",shape="box"];1480[label="yu411002",fontsize=16,color="green",shape="box"];1481[label="yu302",fontsize=16,color="green",shape="box"];1482[label="yu411002",fontsize=16,color="green",shape="box"];1483[label="yu302",fontsize=16,color="green",shape="box"];1484[label="yu411002",fontsize=16,color="green",shape="box"];1485[label="yu302",fontsize=16,color="green",shape="box"];1486[label="yu411002",fontsize=16,color="green",shape="box"];1487[label="yu302",fontsize=16,color="green",shape="box"];1488[label="yu411002",fontsize=16,color="green",shape="box"];1489[label="yu302",fontsize=16,color="green",shape="box"];1490[label="yu411002",fontsize=16,color="green",shape="box"];1491[label="yu302",fontsize=16,color="green",shape="box"];1492[label="yu411002",fontsize=16,color="green",shape="box"];1493[label="yu302",fontsize=16,color="green",shape="box"];1494[label="yu411002",fontsize=16,color="green",shape="box"];1495[label="yu302",fontsize=16,color="green",shape="box"];1496[label="yu411002",fontsize=16,color="green",shape="box"];1497[label="yu411002",fontsize=16,color="green",shape="box"];1498[label="yu302",fontsize=16,color="green",shape="box"];1499[label="yu3000",fontsize=16,color="green",shape="box"];1500[label="yu4110000",fontsize=16,color="green",shape="box"];1501[label="yu3000",fontsize=16,color="green",shape="box"];1502[label="yu4110000",fontsize=16,color="green",shape="box"];1503 -> 1122[label="",style="dashed", color="red", weight=0];
1503[label="primEqNat yu3000 yu4110000",fontsize=16,color="magenta"];1503 -> 1510[label="",style="dashed", color="magenta", weight=3];
1503 -> 1511[label="",style="dashed", color="magenta", weight=3];
1504[label="False",fontsize=16,color="green",shape="box"];1505[label="False",fontsize=16,color="green",shape="box"];1506[label="True",fontsize=16,color="green",shape="box"];1507[label="primMulInt (Pos yu3000) yu411001",fontsize=16,color="burlywood",shape="box"];1803[label="yu411001/Pos yu4110010",fontsize=10,color="white",style="solid",shape="box"];1507 -> 1803[label="",style="solid", color="burlywood", weight=9];
1803 -> 1512[label="",style="solid", color="burlywood", weight=3];
1804[label="yu411001/Neg yu4110010",fontsize=10,color="white",style="solid",shape="box"];1507 -> 1804[label="",style="solid", color="burlywood", weight=9];
1804 -> 1513[label="",style="solid", color="burlywood", weight=3];
1508[label="primMulInt (Neg yu3000) yu411001",fontsize=16,color="burlywood",shape="box"];1805[label="yu411001/Pos yu4110010",fontsize=10,color="white",style="solid",shape="box"];1508 -> 1805[label="",style="solid", color="burlywood", weight=9];
1805 -> 1514[label="",style="solid", color="burlywood", weight=3];
1806[label="yu411001/Neg yu4110010",fontsize=10,color="white",style="solid",shape="box"];1508 -> 1806[label="",style="solid", color="burlywood", weight=9];
1806 -> 1515[label="",style="solid", color="burlywood", weight=3];
1563[label="primPlusNat yu550 yu41100100",fontsize=16,color="burlywood",shape="triangle"];1807[label="yu550/Succ yu5500",fontsize=10,color="white",style="solid",shape="box"];1563 -> 1807[label="",style="solid", color="burlywood", weight=9];
1807 -> 1564[label="",style="solid", color="burlywood", weight=3];
1808[label="yu550/Zero",fontsize=10,color="white",style="solid",shape="box"];1563 -> 1808[label="",style="solid", color="burlywood", weight=9];
1808 -> 1565[label="",style="solid", color="burlywood", weight=3];
1510[label="yu3000",fontsize=16,color="green",shape="box"];1511[label="yu4110000",fontsize=16,color="green",shape="box"];1512[label="primMulInt (Pos yu3000) (Pos yu4110010)",fontsize=16,color="black",shape="box"];1512 -> 1518[label="",style="solid", color="black", weight=3];
1513[label="primMulInt (Pos yu3000) (Neg yu4110010)",fontsize=16,color="black",shape="box"];1513 -> 1519[label="",style="solid", color="black", weight=3];
1514[label="primMulInt (Neg yu3000) (Pos yu4110010)",fontsize=16,color="black",shape="box"];1514 -> 1520[label="",style="solid", color="black", weight=3];
1515[label="primMulInt (Neg yu3000) (Neg yu4110010)",fontsize=16,color="black",shape="box"];1515 -> 1521[label="",style="solid", color="black", weight=3];
1564[label="primPlusNat (Succ yu5500) yu41100100",fontsize=16,color="burlywood",shape="box"];1809[label="yu41100100/Succ yu411001000",fontsize=10,color="white",style="solid",shape="box"];1564 -> 1809[label="",style="solid", color="burlywood", weight=9];
1809 -> 1566[label="",style="solid", color="burlywood", weight=3];
1810[label="yu41100100/Zero",fontsize=10,color="white",style="solid",shape="box"];1564 -> 1810[label="",style="solid", color="burlywood", weight=9];
1810 -> 1567[label="",style="solid", color="burlywood", weight=3];
1565[label="primPlusNat Zero yu41100100",fontsize=16,color="burlywood",shape="box"];1811[label="yu41100100/Succ yu411001000",fontsize=10,color="white",style="solid",shape="box"];1565 -> 1811[label="",style="solid", color="burlywood", weight=9];
1811 -> 1568[label="",style="solid", color="burlywood", weight=3];
1812[label="yu41100100/Zero",fontsize=10,color="white",style="solid",shape="box"];1565 -> 1812[label="",style="solid", color="burlywood", weight=9];
1812 -> 1569[label="",style="solid", color="burlywood", weight=3];
1518[label="Pos (primMulNat yu3000 yu4110010)",fontsize=16,color="green",shape="box"];1518 -> 1526[label="",style="dashed", color="green", weight=3];
1519[label="Neg (primMulNat yu3000 yu4110010)",fontsize=16,color="green",shape="box"];1519 -> 1527[label="",style="dashed", color="green", weight=3];
1520[label="Neg (primMulNat yu3000 yu4110010)",fontsize=16,color="green",shape="box"];1520 -> 1528[label="",style="dashed", color="green", weight=3];
1521[label="Pos (primMulNat yu3000 yu4110010)",fontsize=16,color="green",shape="box"];1521 -> 1529[label="",style="dashed", color="green", weight=3];
1566[label="primPlusNat (Succ yu5500) (Succ yu411001000)",fontsize=16,color="black",shape="box"];1566 -> 1570[label="",style="solid", color="black", weight=3];
1567[label="primPlusNat (Succ yu5500) Zero",fontsize=16,color="black",shape="box"];1567 -> 1571[label="",style="solid", color="black", weight=3];
1568[label="primPlusNat Zero (Succ yu411001000)",fontsize=16,color="black",shape="box"];1568 -> 1572[label="",style="solid", color="black", weight=3];
1569[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1569 -> 1573[label="",style="solid", color="black", weight=3];
1526[label="primMulNat yu3000 yu4110010",fontsize=16,color="burlywood",shape="triangle"];1813[label="yu3000/Succ yu30000",fontsize=10,color="white",style="solid",shape="box"];1526 -> 1813[label="",style="solid", color="burlywood", weight=9];
1813 -> 1532[label="",style="solid", color="burlywood", weight=3];
1814[label="yu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];1526 -> 1814[label="",style="solid", color="burlywood", weight=9];
1814 -> 1533[label="",style="solid", color="burlywood", weight=3];
1527 -> 1526[label="",style="dashed", color="red", weight=0];
1527[label="primMulNat yu3000 yu4110010",fontsize=16,color="magenta"];1527 -> 1534[label="",style="dashed", color="magenta", weight=3];
1528 -> 1526[label="",style="dashed", color="red", weight=0];
1528[label="primMulNat yu3000 yu4110010",fontsize=16,color="magenta"];1528 -> 1535[label="",style="dashed", color="magenta", weight=3];
1529 -> 1526[label="",style="dashed", color="red", weight=0];
1529[label="primMulNat yu3000 yu4110010",fontsize=16,color="magenta"];1529 -> 1536[label="",style="dashed", color="magenta", weight=3];
1529 -> 1537[label="",style="dashed", color="magenta", weight=3];
1570[label="Succ (Succ (primPlusNat yu5500 yu411001000))",fontsize=16,color="green",shape="box"];1570 -> 1574[label="",style="dashed", color="green", weight=3];
1571[label="Succ yu5500",fontsize=16,color="green",shape="box"];1572[label="Succ yu411001000",fontsize=16,color="green",shape="box"];1573[label="Zero",fontsize=16,color="green",shape="box"];1532[label="primMulNat (Succ yu30000) yu4110010",fontsize=16,color="burlywood",shape="box"];1815[label="yu4110010/Succ yu41100100",fontsize=10,color="white",style="solid",shape="box"];1532 -> 1815[label="",style="solid", color="burlywood", weight=9];
1815 -> 1539[label="",style="solid", color="burlywood", weight=3];
1816[label="yu4110010/Zero",fontsize=10,color="white",style="solid",shape="box"];1532 -> 1816[label="",style="solid", color="burlywood", weight=9];
1816 -> 1540[label="",style="solid", color="burlywood", weight=3];
1533[label="primMulNat Zero yu4110010",fontsize=16,color="burlywood",shape="box"];1817[label="yu4110010/Succ yu41100100",fontsize=10,color="white",style="solid",shape="box"];1533 -> 1817[label="",style="solid", color="burlywood", weight=9];
1817 -> 1541[label="",style="solid", color="burlywood", weight=3];
1818[label="yu4110010/Zero",fontsize=10,color="white",style="solid",shape="box"];1533 -> 1818[label="",style="solid", color="burlywood", weight=9];
1818 -> 1542[label="",style="solid", color="burlywood", weight=3];
1534[label="yu4110010",fontsize=16,color="green",shape="box"];1535[label="yu3000",fontsize=16,color="green",shape="box"];1536[label="yu4110010",fontsize=16,color="green",shape="box"];1537[label="yu3000",fontsize=16,color="green",shape="box"];1574 -> 1563[label="",style="dashed", color="red", weight=0];
1574[label="primPlusNat yu5500 yu411001000",fontsize=16,color="magenta"];1574 -> 1575[label="",style="dashed", color="magenta", weight=3];
1574 -> 1576[label="",style="dashed", color="magenta", weight=3];
1539[label="primMulNat (Succ yu30000) (Succ yu41100100)",fontsize=16,color="black",shape="box"];1539 -> 1545[label="",style="solid", color="black", weight=3];
1540[label="primMulNat (Succ yu30000) Zero",fontsize=16,color="black",shape="box"];1540 -> 1546[label="",style="solid", color="black", weight=3];
1541[label="primMulNat Zero (Succ yu41100100)",fontsize=16,color="black",shape="box"];1541 -> 1547[label="",style="solid", color="black", weight=3];
1542[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1542 -> 1548[label="",style="solid", color="black", weight=3];
1575[label="yu5500",fontsize=16,color="green",shape="box"];1576[label="yu411001000",fontsize=16,color="green",shape="box"];1545 -> 1551[label="",style="dashed", color="red", weight=0];
1545[label="primPlusNat (primMulNat yu30000 (Succ yu41100100)) (Succ yu41100100)",fontsize=16,color="magenta"];1545 -> 1556[label="",style="dashed", color="magenta", weight=3];
1546[label="Zero",fontsize=16,color="green",shape="box"];1547[label="Zero",fontsize=16,color="green",shape="box"];1548[label="Zero",fontsize=16,color="green",shape="box"];1556 -> 1526[label="",style="dashed", color="red", weight=0];
1556[label="primMulNat yu30000 (Succ yu41100100)",fontsize=16,color="magenta"];1556 -> 1559[label="",style="dashed", color="magenta", weight=3];
1556 -> 1560[label="",style="dashed", color="magenta", weight=3];
1559[label="Succ yu41100100",fontsize=16,color="green",shape="box"];1560[label="yu30000",fontsize=16,color="green",shape="box"];}

----------------------------------------

(14)
Complex Obligation (AND)

----------------------------------------

(15)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldr(yu3, :(yu4110, yu4111), yu48, ba) -> new_foldr(yu3, yu4111, new_primPlusNat0(yu48, Zero), ba)

The TRS R consists of the following rules:

   new_primPlusNat0(Succ(yu550), yu41100100) -> Succ(Succ(new_primPlusNat1(yu550, yu41100100)))
   new_primPlusNat1(Succ(yu5500), Zero) -> Succ(yu5500)
   new_primPlusNat1(Zero, Succ(yu411001000)) -> Succ(yu411001000)
   new_primPlusNat1(Succ(yu5500), Succ(yu411001000)) -> Succ(Succ(new_primPlusNat1(yu5500, yu411001000)))
   new_primPlusNat1(Zero, Zero) -> Zero
   new_primPlusNat0(Zero, yu41100100) -> Succ(yu41100100)

The set Q consists of the following terms:

   new_primPlusNat0(Succ(x0), x1)
   new_primPlusNat0(Zero, x0)
   new_primPlusNat1(Zero, Succ(x0))
   new_primPlusNat1(Zero, Zero)
   new_primPlusNat1(Succ(x0), Zero)
   new_primPlusNat1(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(16) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_foldr(yu3, :(yu4110, yu4111), yu48, ba) -> new_foldr(yu3, yu4111, new_primPlusNat0(yu48, Zero), ba)
The graph contains the following edges 1 >= 1, 2 > 2, 4 >= 4


----------------------------------------

(17)
YES

----------------------------------------

(18)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(ty_Maybe, cb)), bd), be)) -> new_esEs2(yu300, yu411000, cb)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(app(app(ty_@3, bah), bba), bbb)) -> new_esEs(yu301, yu411001, bah, bba, bbb)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(ty_Maybe, bbg))) -> new_esEs2(yu301, yu411001, bbg)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(app(ty_@2, bh), ca)), bd), be)) -> new_esEs1(yu300, yu411000, bh, ca)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(app(ty_@2, bac), bad)), hh)) -> new_esEs1(yu300, yu411000, bac, bad)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(app(ty_Either, bbc), bbd)) -> new_esEs0(yu301, yu411001, bbc, bbd)
   new_esEs0(Right(yu300), Right(yu411000), gc, app(ty_[], hd)) -> new_esEs3(yu300, yu411000, hd)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(ty_[], eg))) -> new_esEs3(yu302, yu411002, eg)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(app(ty_Either, da), db)), be)) -> new_esEs0(yu301, yu411001, da, db)
   new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(app(ty_Either, bcd), bce))) -> new_esEs0(yu300, yu411000, bcd, bce)
   new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(ty_[], hd))) -> new_esEs3(yu300, yu411000, hd)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(ty_[], baf), hh) -> new_esEs3(yu300, yu411000, baf)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(ty_[], bbh)) -> new_esEs3(yu301, yu411001, bbh)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(ty_[], cc)), bd), be)) -> new_esEs3(yu300, yu411000, cc)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(app(ty_@2, dc), dd), be) -> new_esEs1(yu301, yu411001, dc, dd)
   new_esEs0(Left(yu300), Left(yu411000), app(ty_[], gb), fc) -> new_esEs3(yu300, yu411000, gb)
   new_esEs0(Left(yu300), Left(yu411000), app(app(ty_Either, fd), ff), fc) -> new_esEs0(yu300, yu411000, fd, ff)
   new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(app(ty_Either, gg), gh))) -> new_esEs0(yu300, yu411000, gg, gh)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(app(app(ty_@3, he), hf), hg)), hh)) -> new_esEs(yu300, yu411000, he, hf, hg)
   new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(app(ty_@2, bcf), bcg))) -> new_esEs1(yu300, yu411000, bcf, bcg)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(app(ty_@2, dc), dd)), be)) -> new_esEs1(yu301, yu411001, dc, dd)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(ty_Maybe, ef))) -> new_esEs2(yu302, yu411002, ef)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(app(ty_Either, da), db), be) -> new_esEs0(yu301, yu411001, da, db)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(ty_[], bbh))) -> new_esEs3(yu301, yu411001, bbh)
   new_esEs2(Just(yu300), Just(yu411000), app(app(ty_Either, bcd), bce)) -> new_esEs0(yu300, yu411000, bcd, bce)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(ty_Maybe, bae)), hh)) -> new_esEs2(yu300, yu411000, bae)
   new_esEs0(Right(yu300), Right(yu411000), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(yu300, yu411000, gd, ge, gf)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(app(app(ty_@3, he), hf), hg), hh) -> new_esEs(yu300, yu411000, he, hf, hg)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(app(ty_@2, bac), bad), hh) -> new_esEs1(yu300, yu411000, bac, bad)
   new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(ty_Maybe, ga)), fc)) -> new_esEs2(yu300, yu411000, ga)
   new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(ty_[], gb)), fc)) -> new_esEs3(yu300, yu411000, gb)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(ty_Maybe, ef)) -> new_esEs2(yu302, yu411002, ef)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(app(ty_Either, baa), bab)), hh)) -> new_esEs0(yu300, yu411000, baa, bab)
   new_esEs0(Left(yu300), Left(yu411000), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(yu300, yu411000, eh, fa, fb)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(ty_[], baf)), hh)) -> new_esEs3(yu300, yu411000, baf)
   new_esEs2(Just(yu300), Just(yu411000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(yu300, yu411000, bcf, bcg)
   new_esEs0(Left(yu300), Left(yu411000), app(app(ty_@2, fg), fh), fc) -> new_esEs1(yu300, yu411000, fg, fh)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(app(ty_@2, bh), ca), bd, be) -> new_esEs1(yu300, yu411000, bh, ca)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(app(app(ty_@3, ba), bb), bc)), bd), be)) -> new_esEs(yu300, yu411000, ba, bb, bc)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(app(app(ty_@3, bah), bba), bbb))) -> new_esEs(yu301, yu411001, bah, bba, bbb)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(yu302, yu411002, dg, dh, ea)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(app(ty_Either, baa), bab), hh) -> new_esEs0(yu300, yu411000, baa, bab)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(app(ty_@2, ed), ee)) -> new_esEs1(yu302, yu411002, ed, ee)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(ty_[], eg)) -> new_esEs3(yu302, yu411002, eg)
   new_esEs0(Left(yu300), Left(yu411000), app(ty_Maybe, ga), fc) -> new_esEs2(yu300, yu411000, ga)
   new_esEs0(Right(yu300), Right(yu411000), gc, app(app(ty_Either, gg), gh)) -> new_esEs0(yu300, yu411000, gg, gh)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(ty_Maybe, cb), bd, be) -> new_esEs2(yu300, yu411000, cb)
   new_esEs3(:(yu30, yu31), :(yu41100, yu41101), app(ty_[], bdb)) -> new_esEs3(yu30, yu41100, bdb)
   new_esEs2(Just(yu300), Just(yu411000), app(ty_Maybe, bch)) -> new_esEs2(yu300, yu411000, bch)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(ty_[], df), be) -> new_esEs3(yu301, yu411001, df)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(app(ty_Either, eb), ec))) -> new_esEs0(yu302, yu411002, eb, ec)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(ty_[], cc), bd, be) -> new_esEs3(yu300, yu411000, cc)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(ty_Maybe, bbg)) -> new_esEs2(yu301, yu411001, bbg)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(yu301, yu411001, ce, cf, cg)
   new_esEs2(Just(yu300), Just(yu411000), app(ty_[], bda)) -> new_esEs3(yu300, yu411000, bda)
   new_esEs0(Right(yu300), Right(yu411000), gc, app(ty_Maybe, hc)) -> new_esEs2(yu300, yu411000, hc)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(app(ty_Either, bbc), bbd))) -> new_esEs0(yu301, yu411001, bbc, bbd)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(ty_Maybe, bae), hh) -> new_esEs2(yu300, yu411000, bae)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(app(ty_@2, ed), ee))) -> new_esEs1(yu302, yu411002, ed, ee)
   new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(ty_[], bda))) -> new_esEs3(yu300, yu411000, bda)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(app(ty_Either, bf), bg), bd, be) -> new_esEs0(yu300, yu411000, bf, bg)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(app(app(ty_@3, dg), dh), ea))) -> new_esEs(yu302, yu411002, dg, dh, ea)
   new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(app(app(ty_@3, gd), ge), gf))) -> new_esEs(yu300, yu411000, gd, ge, gf)
   new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(app(app(ty_@3, bca), bcb), bcc))) -> new_esEs(yu300, yu411000, bca, bcb, bcc)
   new_esEs3(:(yu30, yu31), :(yu41100, yu41101), bdc) -> new_esEs3(yu31, yu41101, bdc)
   new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(app(ty_@2, bbe), bbf))) -> new_esEs1(yu301, yu411001, bbe, bbf)
   new_esEs0(Right(yu300), Right(yu411000), gc, app(app(ty_@2, ha), hb)) -> new_esEs1(yu300, yu411000, ha, hb)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(app(ty_Either, bf), bg)), bd), be)) -> new_esEs0(yu300, yu411000, bf, bg)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(yu300, yu411000, ba, bb, bc)
   new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(app(ty_Either, fd), ff)), fc)) -> new_esEs0(yu300, yu411000, fd, ff)
   new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(app(app(ty_@3, eh), fa), fb)), fc)) -> new_esEs(yu300, yu411000, eh, fa, fb)
   new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(app(ty_@2, fg), fh)), fc)) -> new_esEs1(yu300, yu411000, fg, fh)
   new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(app(ty_@2, ha), hb))) -> new_esEs1(yu300, yu411000, ha, hb)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(app(app(ty_@3, ce), cf), cg)), be)) -> new_esEs(yu301, yu411001, ce, cf, cg)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(ty_Maybe, de)), be)) -> new_esEs2(yu301, yu411001, de)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(ty_Maybe, de), be) -> new_esEs2(yu301, yu411001, de)
   new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(app(ty_Either, eb), ec)) -> new_esEs0(yu302, yu411002, eb, ec)
   new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(yu301, yu411001, bbe, bbf)
   new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(ty_[], df)), be)) -> new_esEs3(yu301, yu411001, df)
   new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(ty_Maybe, hc))) -> new_esEs2(yu300, yu411000, hc)
   new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(ty_Maybe, bch))) -> new_esEs2(yu300, yu411000, bch)
   new_esEs2(Just(yu300), Just(yu411000), app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs(yu300, yu411000, bca, bcb, bcc)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(19) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_esEs2(Just(yu300), Just(yu411000), app(ty_[], bda)) -> new_esEs3(yu300, yu411000, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs2(Just(yu300), Just(yu411000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(yu300, yu411000, bcf, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs2(Just(yu300), Just(yu411000), app(app(ty_Either, bcd), bce)) -> new_esEs0(yu300, yu411000, bcd, bce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs2(Just(yu300), Just(yu411000), app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs(yu300, yu411000, bca, bcb, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs2(Just(yu300), Just(yu411000), app(ty_Maybe, bch)) -> new_esEs2(yu300, yu411000, bch)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(ty_[], eg)) -> new_esEs3(yu302, yu411002, eg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(ty_[], df), be) -> new_esEs3(yu301, yu411001, df)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(ty_[], cc), bd, be) -> new_esEs3(yu300, yu411000, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(ty_[], baf), hh) -> new_esEs3(yu300, yu411000, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(ty_[], bbh)) -> new_esEs3(yu301, yu411001, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3


*new_esEs0(Right(yu300), Right(yu411000), gc, app(ty_[], hd)) -> new_esEs3(yu300, yu411000, hd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3


*new_esEs0(Left(yu300), Left(yu411000), app(ty_[], gb), fc) -> new_esEs3(yu300, yu411000, gb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(ty_[], eg))) -> new_esEs3(yu302, yu411002, eg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(ty_[], hd))) -> new_esEs3(yu300, yu411000, hd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(ty_[], cc)), bd), be)) -> new_esEs3(yu300, yu411000, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(ty_[], bbh))) -> new_esEs3(yu301, yu411001, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(ty_[], gb)), fc)) -> new_esEs3(yu300, yu411000, gb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(ty_[], baf)), hh)) -> new_esEs3(yu300, yu411000, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(yu30, yu31), :(yu41100, yu41101), app(ty_[], bdb)) -> new_esEs3(yu30, yu41100, bdb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(ty_[], bda))) -> new_esEs3(yu300, yu411000, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(yu30, yu31), :(yu41100, yu41101), bdc) -> new_esEs3(yu31, yu41101, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(ty_[], df)), be)) -> new_esEs3(yu301, yu411001, df)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(app(ty_@2, dc), dd), be) -> new_esEs1(yu301, yu411001, dc, dd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(app(ty_@2, bh), ca), bd, be) -> new_esEs1(yu300, yu411000, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(app(ty_@2, ed), ee)) -> new_esEs1(yu302, yu411002, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(app(ty_Either, da), db), be) -> new_esEs0(yu301, yu411001, da, db)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(app(ty_Either, bf), bg), bd, be) -> new_esEs0(yu300, yu411000, bf, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(app(ty_Either, eb), ec)) -> new_esEs0(yu302, yu411002, eb, ec)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(yu302, yu411002, dg, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(yu301, yu411001, ce, cf, cg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(yu300, yu411000, ba, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, bd, app(ty_Maybe, ef)) -> new_esEs2(yu302, yu411002, ef)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), app(ty_Maybe, cb), bd, be) -> new_esEs2(yu300, yu411000, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs(@3(yu300, yu301, yu302), @3(yu411000, yu411001, yu411002), cd, app(ty_Maybe, de), be) -> new_esEs2(yu301, yu411001, de)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(app(ty_@2, bac), bad), hh) -> new_esEs1(yu300, yu411000, bac, bad)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(yu301, yu411001, bbe, bbf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4


*new_esEs0(Left(yu300), Left(yu411000), app(app(ty_@2, fg), fh), fc) -> new_esEs1(yu300, yu411000, fg, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs0(Right(yu300), Right(yu411000), gc, app(app(ty_@2, ha), hb)) -> new_esEs1(yu300, yu411000, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(app(ty_@2, bh), ca)), bd), be)) -> new_esEs1(yu300, yu411000, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(app(ty_@2, bac), bad)), hh)) -> new_esEs1(yu300, yu411000, bac, bad)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(app(ty_@2, bcf), bcg))) -> new_esEs1(yu300, yu411000, bcf, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(app(ty_@2, dc), dd)), be)) -> new_esEs1(yu301, yu411001, dc, dd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(app(ty_@2, ed), ee))) -> new_esEs1(yu302, yu411002, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(app(ty_@2, bbe), bbf))) -> new_esEs1(yu301, yu411001, bbe, bbf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(app(ty_@2, fg), fh)), fc)) -> new_esEs1(yu300, yu411000, fg, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(app(ty_@2, ha), hb))) -> new_esEs1(yu300, yu411000, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(app(ty_Either, bbc), bbd)) -> new_esEs0(yu301, yu411001, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(app(ty_Either, baa), bab), hh) -> new_esEs0(yu300, yu411000, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(app(app(ty_@3, bah), bba), bbb)) -> new_esEs(yu301, yu411001, bah, bba, bbb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(app(app(ty_@3, he), hf), hg), hh) -> new_esEs(yu300, yu411000, he, hf, hg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), bag, app(ty_Maybe, bbg)) -> new_esEs2(yu301, yu411001, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3


*new_esEs1(@2(yu300, yu301), @2(yu411000, yu411001), app(ty_Maybe, bae), hh) -> new_esEs2(yu300, yu411000, bae)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs0(Left(yu300), Left(yu411000), app(app(ty_Either, fd), ff), fc) -> new_esEs0(yu300, yu411000, fd, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs0(Right(yu300), Right(yu411000), gc, app(app(ty_Either, gg), gh)) -> new_esEs0(yu300, yu411000, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4


*new_esEs0(Right(yu300), Right(yu411000), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(yu300, yu411000, gd, ge, gf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5


*new_esEs0(Left(yu300), Left(yu411000), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(yu300, yu411000, eh, fa, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs0(Left(yu300), Left(yu411000), app(ty_Maybe, ga), fc) -> new_esEs2(yu300, yu411000, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs0(Right(yu300), Right(yu411000), gc, app(ty_Maybe, hc)) -> new_esEs2(yu300, yu411000, hc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(app(ty_Either, da), db)), be)) -> new_esEs0(yu301, yu411001, da, db)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(app(ty_Either, bcd), bce))) -> new_esEs0(yu300, yu411000, bcd, bce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(app(ty_Either, gg), gh))) -> new_esEs0(yu300, yu411000, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(app(ty_Either, baa), bab)), hh)) -> new_esEs0(yu300, yu411000, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(app(ty_Either, eb), ec))) -> new_esEs0(yu302, yu411002, eb, ec)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(app(ty_Either, bbc), bbd))) -> new_esEs0(yu301, yu411001, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(app(ty_Either, bf), bg)), bd), be)) -> new_esEs0(yu300, yu411000, bf, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(app(ty_Either, fd), ff)), fc)) -> new_esEs0(yu300, yu411000, fd, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(app(app(ty_@3, he), hf), hg)), hh)) -> new_esEs(yu300, yu411000, he, hf, hg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(app(app(ty_@3, ba), bb), bc)), bd), be)) -> new_esEs(yu300, yu411000, ba, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(app(app(ty_@3, bah), bba), bbb))) -> new_esEs(yu301, yu411001, bah, bba, bbb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(app(app(ty_@3, dg), dh), ea))) -> new_esEs(yu302, yu411002, dg, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(app(app(ty_@3, gd), ge), gf))) -> new_esEs(yu300, yu411000, gd, ge, gf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(app(app(ty_@3, bca), bcb), bcc))) -> new_esEs(yu300, yu411000, bca, bcb, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(app(app(ty_@3, eh), fa), fb)), fc)) -> new_esEs(yu300, yu411000, eh, fa, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(app(app(ty_@3, ce), cf), cg)), be)) -> new_esEs(yu301, yu411001, ce, cf, cg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, app(ty_Maybe, cb)), bd), be)) -> new_esEs2(yu300, yu411000, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, bag), app(ty_Maybe, bbg))) -> new_esEs2(yu301, yu411001, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), bd), app(ty_Maybe, ef))) -> new_esEs2(yu302, yu411002, ef)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@2(yu300, yu301), yu31), :(@2(yu411000, yu411001), yu41101), app(app(ty_@2, app(ty_Maybe, bae)), hh)) -> new_esEs2(yu300, yu411000, bae)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(Left(yu300), yu31), :(Left(yu411000), yu41101), app(app(ty_Either, app(ty_Maybe, ga)), fc)) -> new_esEs2(yu300, yu411000, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(@3(yu300, yu301, yu302), yu31), :(@3(yu411000, yu411001, yu411002), yu41101), app(app(app(ty_@3, cd), app(ty_Maybe, de)), be)) -> new_esEs2(yu301, yu411001, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(Right(yu300), yu31), :(Right(yu411000), yu41101), app(app(ty_Either, gc), app(ty_Maybe, hc))) -> new_esEs2(yu300, yu411000, hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


*new_esEs3(:(Just(yu300), yu31), :(Just(yu411000), yu41101), app(ty_Maybe, app(ty_Maybe, bch))) -> new_esEs2(yu300, yu411000, bch)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3


----------------------------------------

(20)
YES

----------------------------------------

(21)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_primMulNat(Succ(yu30000), Succ(yu41100100)) -> new_primMulNat(yu30000, Succ(yu41100100))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(22) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_primMulNat(Succ(yu30000), Succ(yu41100100)) -> new_primMulNat(yu30000, Succ(yu41100100))
The graph contains the following edges 1 > 1, 2 >= 2


----------------------------------------

(23)
YES

----------------------------------------

(24)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_primPlusNat(Succ(yu5500), Succ(yu411001000)) -> new_primPlusNat(yu5500, yu411001000)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(25) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_primPlusNat(Succ(yu5500), Succ(yu411001000)) -> new_primPlusNat(yu5500, yu411001000)
The graph contains the following edges 1 > 1, 2 > 2


----------------------------------------

(26)
YES

----------------------------------------

(27)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_primEqNat(Succ(yu3000), Succ(yu4110000)) -> new_primEqNat(yu3000, yu4110000)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(28) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_primEqNat(Succ(yu3000), Succ(yu4110000)) -> new_primEqNat(yu3000, yu4110000)
The graph contains the following edges 1 > 1, 2 > 2


----------------------------------------

(29)
YES